Tootfinder

Neue Filme und Serien bei Netflix, Disney und Amazon Prime im Juli 2025
Netflix zeigt im Juli die 2. und letzte Staffel "Sandman". Bei Amazon Prime Video läuft "Blade Runner (1982)" und Disney bringt die "Transformers"-Filme.

Prime numbers with an almost prime reverse
C\'ecile Dartyge, Jo\"el Rivat, Cathy Swaenepoel
https://arxiv.org/abs/2506.21642 https://

Prime numbers with an almost prime reverse
Let $b$ be an integer greater than or equal to $2$. For any integer $n\in \left[b^{λ-1}, b^λ-1\right]$, we denote by $R_λ(n)$ the reverse of $n$ in base $b$, obtained by reversing the order of the digits of $n$. We establish a Bombieri-Vinogradov type theorem for the set of the reverses of the prime numbers. Combined with sieve methods, this permits us to prove that there exist $Ω_b\in\mathbb{N}$ and $c_b>0$ such that, for at least $c_b b^λ λ^{-2}$ primes $p\in \left[b^{λ-1}, b^λ-1\righ…

New Zealand prime minister Ardern was grappling with whether to go:
“Something had been loosened worldwide,” she says,
with rage everywhere,
public servants being followed and attacked,
as if they were “somehow distinct from being human”.
We all recognise this rage,
but Ardern was at the centre of it,
representing progressive politics, tough Covid measures, empathy, emotion, anti-racism, femaleness;
a symbol of a different time, more rational…

Fuck Liz Truss
https://www.instagram.com/p/DKWtxobNcx_/

Christian Stöcker on Instagram: "Quiz Questions: Who wrote this deranged but familiar sounding treatise about a „globalist“ (read: Jewish) conspiracy that „hates western civilization“ and is trying to take over the world? I‘ll give you a second to think about it. The answer is: @trussliz, the former (salad survival length) Prime Minister of the UK. The (very real) international conspiracy of far right pro fossil fuel crazies is taking root everywhere. It showed its face at #CPAC. These people want what #Trump does, but everywhere."
22 likes, 0 comments - chrisstoecker on June 1, 2025: "Quiz Questions: Who wrote this deranged but familiar sounding treatise about a „globalist“ (read: Jewish) conspiracy that „hates western civilization“ and is trying to take over the world? I‘ll give you a second to think about it. The answer is: @trussliz, the former (salad survival length) Prime Minister of the UK. The (very real) international conspiracy of far right pro fossil fuel crazies is taking root everywhere. It showe…

Steelers great Ben Roethlisberger would take Aaron Rodgers in his prime over Patrick Mahomes

https://www.cbssports.com/nfl/news/steeler

Amazon says Prime Video in India caters to "subscription-ready" customers while Amazon MX Player is aimed at those transitioning from traditional media (Naman Ramachandran/Variety)
https://variety.com/2025/tv/news/amazon-india-st…

Amazon Preps Sets India Streaming Push With Prime Video, MX Player
Amazon targets India's diverse streaming market with Prime Video for premium subscribers and MX Player for mobile users.

'Governments like Spain and others are doing what many had not expected only years ago: Spanish Prime Minister Pedro Sanchez is powerfully advocating for the suspension of the EU-Israel Association Agreement, an extensive trade deal in place since 2000, due to “the catastrophic situation of genocide.”'
'If more such governments were to adopt a similar, uncompromising stance, Israel would be [stopped] from acquiring the .. weapons it uses to carry out .. genocide.'

Hybrid Character Sums From Vectorial Dual-Bent Functions and Asymptotically Optimal Complex Codebooks With Small Alphabet Sizes
Ziling Heng, Peng Wang, Chengju Li
https://arxiv.org/abs/2506.23198

Hybrid Character Sums From Vectorial Dual-Bent Functions and Asymptotically Optimal Complex Codebooks With Small Alphabet Sizes
Hybrid character sums are an important class of exponential sums which have nice applications in coding theory and sequence design. Let $\gf_{p^m}$ be the finite field with $p^m$ elements for a prime $p$ and a positive integer $m$. Let $V_n^{(p)}$ be an $n$-dimensional vector space over $\gf_p$ for a prime $p$. In this paper, we study the hybrid character sums of the form \begin{eqnarray*} \sum_{x \in V_n^{(p)}}ψ\left(F(x)\right)χ_1\left(a x\right), \end{eqnarray*} where $F$ is a function fro…

Series A, Episode 10 - Breakdown
ZEN: Your command reduces to an order to self-destruct. This runs counter to Prime Directive.
VILA: Zen obviously believes there's something nasty in that zone.
https://blake.torpidity.net/m/110/148 B7B3

Blakes7Bot | Search
Companion site to the Blakes7Bot Twitter, Mastodon, and Bluesky accounts. Automated lines of Blakes 7 dialog. Includes a script search facility.

Electricity supply emerges as prime cyber attack target – German security agency. Decentralized renewables are not always an advantage here: "Smaller power plants like wind turbines are often less well protected against attackers than large power plants.”
https://www.

Electricity supply emerges as prime cyber attack target – German security agency

Sonnet 012 - XII
When I do count the clock that tells the time,
And see the brave day sunk in hideous night;
When I behold the violet past prime,
And sable curls, all silvered o'er with white;
When lofty trees I see barren of leaves,
Which erst from heat did canopy the herd,
And summer's green all girded up in sheaves,
Borne on the bier with white and bristly beard,
Then of thy beauty do I question make,
That thou among the …

Amazon plans to hold Prime Day 2025 from July 8 until July 11, lasting four days instead of the usual two and open for Prime members (Cameron Faulkner/The Verge)
https://www.theverge.com/news/685299/amazon-prime-day-2025-dates-when

Amazon Prime Day stretches to four days of deals this year
Amazon’s 2025 Prime Day will begin Tuesday, July 8th, and lasts through Friday, July 11th. There will be a ton of smart home, headphone, TV, laptop deals.

UK FCDO decision to cut back aid to education and to gender initiatives is devastating.
'In an open letter [to UK PM Keir Starmer] published today, several high-profile are joined by entrepreneurs, respected academics and concerned citizens from across the UK in warning that proposed cuts to the UK aid budget could have devastating consequences for millions of girls worldwide whose futures depend on access to education.'

Refining twisted bimodules associated to VOAs
Shun Xu, Jianzhi Han
https://arxiv.org/abs/2505.19162 https://arxiv.org/pdf/2505.19162

Refining twisted bimodules associated to VOAs
Let $V$ be a vertex operator algebra and $g$ an automorphism of $V$ of finite order $T$. For any $m, n \in(1/T) \mathbb N$, an $A_{g,n}(V)\!-\!A_{g,m}(V)$ bimodule $A_{g,n, m}(V)=V/O_{g,n,m}(V)$ was defined by Dong and Jiang, where $O_{g,n,m}(V)$ is the sum of three certain subspaces $O_{g,n, m}^{\prime}(V), O_{g,n, m}^{\prime \prime}(V)$ and $O_{g,n, m}^{\prime \prime \prime}(V)$. In this paper, we show that $O_{g,n, m}(V)=O_{g,n, m}^{\prime}(V)$.

Quasi-isometric embeddings of Ramanujan complexes
Hyein Choi
https://arxiv.org/abs/2506.23585 https://arxiv.org/pdf/2506.23585…

Quasi-isometric embeddings of Ramanujan complexes
Ramanujan complexes were defined as high dimensional analogues of the optimal expanders, Ramanujan graphs. They were constructed as quotients of the Euclidean building (also called the affine building and the Bruhat-Tits building) of $\mathrm{PGL}_d(\mathbb{F}_p((y)))$ for any prime $p$ by Lubotzky-Samuels-Vishne. We distinguish the Ramanujan complexes up to large-scale geometry. More precisely, we show that if $p$ and $q$ are distinct primes, then the associated Ramanujan complexes do not quas…

This https://arxiv.org/abs/2206.01001 has been replaced.
link: https://scholar.google.com/scholar?q=a

The prime spectrum of an $L$-algebra
We prove that the lattice of ideals of an arbitrary $L$-algebra is distributive. As a consequence, a spectral theory applies with no restriction. We also study the spectrum (i.e. the set of prime ideals) of $L$-algebras and characterize prime ideals in topological terms.

Series A, Episode 10 - Breakdown
ZEN: Your command reduces to an order to self-destruct. This runs counter to Prime Directive.
VILA: Zen obviously believes there's something nasty in that zone.
https://blake.torpidity.net/m/110/148 B7B3

Blakes7Bot | Search
Companion site to the Blakes7Bot Twitter, Mastodon, and Bluesky accounts. Automated lines of Blakes 7 dialog. Includes a script search facility.

The complexity of deciding characteristic formulae modulo nested simulation
Luca Aceto, Antonis Achilleos, Aggeliki Chalki, Anna Ingolfsdottir
https://arxiv.org/abs/2505.22277

The complexity of deciding characteristic formulae modulo nested simulation
This paper studies the complexity of determining whether a formula in the modal logics characterizing the nested-simulation semantics is characteristic for some process, which is equivalent to determining whether the formula is satisfiable and prime. The main results are that the problem of determining whether a formula is prime in the modal logic characterizing the 2-nested-simulation preorder is CoNP-complete and is PSPACE-complete in the case of the n-nested-simulation preorder, when n>= 3. …

Separating polynomial invariants over non-closed fields of finite abelian groups
M\'aty\'as Domokos
https://arxiv.org/abs/2506.22889 https://

Separating polynomial invariants over non-closed fields of finite abelian groups
It is proved that for any finite dimensional representation of a prime order group over the field of rational numbers, polynomial invariants of degree at most $3$ separate the orbits. A result providing an upper degree bound for separating invariants for representations of finite abelian groups over algebraically closed base fields of non-modular characteristic is generalized for the case of base fields that are not algebraically closed (like the fields of real or rational numbers).

RTL kauft Sky Deutschland
RTL kauft Sky Deutschland zu einem Preis von 150 Millionen Euro. Mit dem Deal will RTL die Lücke zu Streaming-Diensten wie Netflix und Prime Video schließen.
https://www.heise.d…

Spinwheel, which helps fintech companies and banks authenticate users, automate data retrieval, and facilitate payments, raised a $30M Series A led by F-Prime (Ryan Lawler/Axios)
https://www.axios.com/pro/fintech-deals/2025/06/23/spinwheel-3…

Exclusive: Spinwheel raises $30M to streamline debt management
Debt management remains fragmented and difficult to connect

🇺🇦 #NowPlaying on KEXP's #VarietyMix
Noah Coinflip:
🎵 In My Prime
#NoahCoinflip
https://noahcoinflip.bandcamp.com/track/in-my-prime

Genocidal Israeli supporter MP Anthony Housefather in the backbench... but also in a prime ‘TV' spot. Barf. Glad he's at least not in Cabinet (he is Parl Secretary to the President of the Treasury Board Shafqat Ali). #CanPoli #CdnPoli

Crystalline liftability of irregular weights
Hanneke Wiersema
https://arxiv.org/abs/2506.21637 https://arxiv.org/pdf/2506.21637

Crystalline liftability of irregular weights
Let $p$ be an odd prime. Let $K/\mathbb{Q}_p$ be a finite unramified extension. Let $ρ: G_K \to GL_2(\overline{\mathbb{F}}_p)$ be a continuous representation. We prove that $ρ$ has a crystalline lift of small irregular weight if and only if it has multiple crystalline lifts of certain specified regular weights. The inspiration for this result comes from work of Diamond-Sasaki on geometric Serre weight conjectures. Our result provides a way to translate results currently formulated only for re…

$\mathbf{O}(D,D)$-Symmetric Box Operator and $\alpha^{\prime}$-Corrections with Riemann Curvature
Kawon Lee, Jeong-Hyuck Park
https://arxiv.org/abs/2506.21143

$\mathbf{O}(D,D)$-Symmetric Box Operator and $α^{\prime}$-Corrections with Riemann Curvature
Within the framework of Double Field Theory, we construct an $\mathbf{O}(D,D)$-symmetric d'Alembertian, or box operator, that is applicable to tensors of arbitrary rank. Parameterized by the Riemannian metric and the $B$-field, the operator naturally incorporates the Riemann curvature tensor and the $H$-flux. When applied to the massless string sector, it produces a consistent stringy wave equation under an $\mathbf{O}(D,D)$-symmetric harmonic gauge condition. Furthermore, the one-loop integral…

Schwarzian Norm Estimates for Analytic Functions Associated with Convex Functions
Molla Basir Ahamed, Rajesh Hossain, Sabir Ahammed
https://arxiv.org/abs/2506.19873

Schwarzian Norm Estimates for Analytic Functions Associated with Convex Functions
Let $\mathcal{A}$ denote the class of analytic functions $f$ on the unit disc $\mathbb{D}=\{z\in\mathbb{C}:\;|z|<1\}$ normalized by $f(0)=0$ and $f^{\prime}(0)=1$. In the present article, we consider and $\mathcal{F}(c)$ the subclasses of $\mathcal{A}$ are defined by \begin{align*} \mathcal{F}(c)=\bigg\{f\in\mathcal{A}:\;{\rm Re}\;\bigg(1+\frac{zf^{\prime\prime}(z)}{f^{\prime}(z)}\bigg)>1-\frac{c}{2},\;\;\mbox{for some}\;c\in(0,3]\bigg\}, \end{align*} and derive sharp bounds f…

Why Not ‘Lock In Terry McLaurin For The Rest Of His Prime’—Fox Sports Prediction https://raiderramble.com/2025/06/23/why-not-lock-in-terry-mclaurin-for-the-rest-of-his-prime-fox-sports-prediction/

This https://arxiv.org/abs/2408.02383 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

A Novel Stabilizer-based Entanglement Distillation Protocol for Qudits
Entanglement distillation, the process of converting weakly entangled states into maximally entangled ones using Local Operations and Classical Communication (LOCC), is pivotal for robust entanglement-assisted quantum information processing in error-prone environments. A construction based on stabilizer codes offers an effective method for designing such protocols. By analytically investigating the effective action of stabilizer protocols for systems of prime dimension $d$, we establish a stand…

In April Todd Lyons,
the acting director of Immigration and Customs Enforcement (ice),
lamented that it takes too long to deport illegal immigrants.
At the Border Security Expo in Phoenix he told a crowd of startup bosses vying for government contracts that a better deportation system would function more like Amazon, the tech giant whose delivery drivers zigzag the country at record speed.
“Like Prime, but with human beings,” he said.

America’s immigration detention centres are at capacity
A visit to the second biggest, in Georgia, shows what that looks like

Prime Day: Amazons Shopping-Fest dauert erstmals vier Tage
Erstmals wird Amazon seine als Prime Day bekannte Shopping-Feier über vier Tage abhalten. Los geht es am 8. Juli.
https://www.

On K-stability of one-nodal prime Fano threefolds of genus $12$
Elena Denisova, Anne-Sophie Kaloghiros
https://arxiv.org/abs/2506.17649 https://

On K-stability of one-nodal prime Fano threefolds of genus $12$
We show that general one-nodal prime Fano threefolds of genus $12$ are K-polystable.

UAE-PRIME: A feasibility study of a precise robotically implanted brain-computer interface for the control of external devices https://clinicaltrials.gov/study/NCT06992596 Neuralink N1 implant feasibility study, at Cleveland Clinic Abu Dhabi, United Arab Emirates (UAE);

This https://arxiv.org/abs/2411.07549 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Multipartite nearly orthogonal sets over finite fields
For a field $\mathbb{F}$ and integers $d, k$ and $\ell$, a set $A \subseteq \mathbb{F}^d$ is called $(k,\ell)$-nearly orthogonal if all vectors in $A$ are non-self-orthogonal and every $k+1$ vectors in $A$ contain $\ell + 1$ pairwise orthogonal vectors. Recently, Haviv, Mattheus, Milojević and Wigderson have improved the lower bound on nearly orthogonal sets over finite fields, using counting arguments and a hypergraph container lemma. They showed that for every prime $p$ and an integer $\ell$…

Tansu Çiller, and the corruption of her neoliberal government, was one of the primary drivers of the neoliberalism-to-fascism pipeline* in Turkey that exacerbated inequality, alienated and marginalised huge swaths of the population, and eventually led to Erdoğan’s fascist/Islamist takeover.
Carve her name, indeed; right next to Margaret Thatcher’s.
* Sound familiar, Americans?
#tansuCiller

CarveHerName (@CarveHerName@mstdn.social)
Attached: 1 image #OnThisDay, 25 June 1993, Tansu Çiller wins a vote of confidence to become prime minister of Turkey. She was the first woman to hold the post. #WomenInHistory #OTD #History #WomensHistory

This https://arxiv.org/abs/2409.00540 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Imaging a ring-like structure and the extended jet of M87 at 86 GHz
The galaxy M87 is one of the prime targets for high resolution radio imaging to investigate the supermassive black hole, accretion flow, and relativistic jet. However, it remains challenging to observe them jointly. In 2018, GMVA+ALMA observations at 86 GHz enabled the simultaneous reconstruction of a ring structure and the extended jet emission. In order to analyze the ring and jet of M87, conventional 'CLEAN' algorithms were mainly employed alongside the RML method 'SMILI' in previous work. T…

Prime simplicial complexes of finite groups
Melissa Lee, Kamilla Rekv\'enyi
https://arxiv.org/abs/2506.19032 https://arxiv.org/pd…

Prime simplicial complexes of finite groups
The prime simplicial complex $Π(G)$ of a finite group $G$ is composed of all sets of primes $S$ where $G$ has an element of order the product of primes in $S$, with the subsets partially ordered by inclusion. This complex was introduced by Peter Cameron as the generalisation of the well-studied prime (or Gruenberg-Kegel) graphs. In this paper, we establish new results concerning two key properties of $Π(G)$: recognisability and purity. We demonstrate that recognisability by the prime simplici…

The $\eta$-$\eta'$ mixing and its application in the $B^ /D^ /D_s^ \to\eta^{(\prime)}\ell^ \nu_\ell$ decays
Yu-Jie Zhang, Xing-Gang Wu, Dan-Dan Hu, Long Zeng
https://arxiv.org/abs/2506.13214

The $η$-$η'$ mixing and its application in the $B^+/D^+/D_s^+\toη^{(\prime)}\ell^+ ν_\ell$ decays
In this paper, we take into account the intrinsic charm and gluonic contents into the $η-η^\prime$ mixing scheme and formulate the tetramixing $η-η^\prime-G-η_c$ to study the mixing properties of $η^{(\prime)}$ mesons. Using the newly derived mixing parameters, we calculate the transition form factors (TFFs) of $B^+/D^+/D_s^+\toη^{(\prime)}$ within the QCD light-cone sum rules up to next-to-leading order QCD corrections and twist-4 contributions. Using the extrapolated TFFs, we then calc…

This https://arxiv.org/abs/2504.00804 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The prime number theorem over integers of power-free polynomial values
Let $f(x)\in \mathbb{Z}[x]$ be an irreducible polynomial of degree $d\ge 1$. Let $k\ge2$ be an integer. The number of integers $n$ such that $f(n)$ is $k$-free is widely studied in the literature. In principle, one expects that $f(n)$ is $k$-free infinitely often, if $f$ has no fixed $k$-th power divisor. In 2022, Bergelson and Richter established a new dynamical generalization of the prime number theorem (PNT). Inspired by their work, one may expect that this generalization of the PNT also hol…

Amazon: Prime-Abo für alle zwischen 18 und 22 deutlich günstiger
Amazon gewährt nun allen jungen Menschen zwischen 18 und 22 Jahren einen Nachlass auf das Prime-Abo: Sie zahlen nur noch 4,50 Euro pro Monat.

UK game shows are adding in questions that stump anyone who has forgotten that Liz Truss was Prime Minister. Which is most people.
I've seen it frequently enough that it must be deliberate.

Folks are getting a wee bit more concerned about their privacy now that Donald Trump is in charge of the US.
You may have noticed that he and his regime love getting their hands on other people's data.
Privacy isn't the only issue. -- Can you trust Microsoft to deliver on its service promises under American political pressure?
Ask the EU-based International Criminal Court (ICC) which after it issued arrest warrants for Israeli Prime Minister Benjamin Netanyahu fo…

The year of the European Union Linux desktop may finally arrive
Opinion: True digital sovereignty begins at the desktop

Prime Video names Nicole Clemens, ex-president of Paramount Television Studios, as VP and head of international originals for Prime Video and Amazon MGM Studios (Naman Ramachandran/Variety)
https://variety.com/2025/tv/news/prime-vide…

Prime Video Taps Nicole Clemens to Lead International Originals
Prime Video has named Nicole Clemens as VP and head of international originals for Prime Video and Amazon MGM Studios, effective July 7.

Former Prime Minister of the Underworld, Mark Rutte, manages to get even grosser.
🤮🤮🤮
https://www.theguardian.com/world/2025/jun/25/trump-praises-nato-states-as-summit-prepares-to-lift-defence-spendi…

„Sind Medienchampion“ - Millionen-Deal: RTL kauft Sky Deutschland #News #Nachrichten…

This https://arxiv.org/abs/2212.00636 has been replaced.
link: https://scholar.google.com/scholar?q=a

Newman's conjecture for the partition function modulo integers with at least two distinct prime divisors
Let $M$ be a positive integer and $p(n)$ be the number of partitions of a positive integer $n$. Newman's Conjecture asserts that for each integer $r$, there are infinitely many positive integers $n$ such that \[ p(n)\equiv r \pmod{M}. \] For a positive integer $d$, let $B_{d}$ be the set of positive integers $M$ such that the number of prime divisors of $M$ is $d$. In this paper, we prove that for each positive integer $d$, the density of the set of positive integers $M$ for which Newman's Conj…

This https://arxiv.org/abs/2412.17187 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Generalized Homogeneous Derivations of Graded Rings
In this manuscript, we introduce a novel concept in graded rings called generalized homogeneous derivations, which serve as a natural generalization of the homogeneous derivations introduced by Kanunnikov. We establish the specialized notion of gr-generalized derivations, a subclass that preserves the degree of homogeneous elements. We extend several significant results, originally established for prime rings, to the context of gr-prime rings. Furthermore, we characterize when gr-semiprime ring…

Prime and semiprime Lie ideals in C*-algebras
Eusebio Gardella, Kan Kitamura, Hannes Thiel
https://arxiv.org/abs/2506.11819 https://a…

Prime and semiprime Lie ideals in C*-algebras
Using the theory of Dixmier ideals developed in previous work, we show that every semiprime Lie ideal in a C*-algebra arises as the full normalizer subspace of a semiprime two-sided ideal. This leads to a concise description of all semiprime Lie ideals in terms of semiprime two-sided ideals, and an analogous description of prime Lie ideals in terms of prime two-sided ideals. For unital C*-algebras without characters, we obtain a natural bijection between (semi)prime two-sided ideals and (semi…

Eagles' Saquon Barkley changes offseason approach as he enters his 'prime' https://www.espn.com/nfl/story/_/id/45506886/nfl-philadelphia-eagles-saquon-barkley-entering-prime-2025

The former prime minister of Israel on the Israeli Hamas war in Gaza
https://podcasts.apple.com/us/podcast/the-ezra-klein-show/id1548604447?i=1000712409664

Ehud Olmert on Israel's Catastrophic War in Gaza
Podcast Episode · The Ezra Klein Show · 06/11/2025 · 1h 14m

Sources and docs: Amazon Prime Video ad load has increased to 4-6 minutes per hour, up from 2-3.5 minutes when ads were first introduced in January 2024 (Mark Stenberg/Adweek)
https://www.adweek.com/media/amazon-doubles-prime-video-ad-load/

EXCLUSIVE: Amazon Doubles Prime Video Ads to 6 Minutes Per Hour
The move could lower CPMs but potentially hurt performance.

On regularity of profinite isomorphisms between cusped hyperbolic 3-manifolds and the $A$-polynomial
Xiaoyu Xu
https://arxiv.org/abs/2506.21105 https://

On regularity of profinite isomorphisms between cusped hyperbolic 3-manifolds and the $A$-polynomial
We prove that any isomorphism between the profinite completions of the fundamental groups of two cusped finite-volume hyperbolic 3-manifolds is regular and peripheral regular. As an application, we show that the $A$-polynomial of prime knots in $S^3$ is a profinite invariant, up to possible mirror image.

Amazon soll Werbung bei Prime Video verdoppelt haben
Dreieinhalb Minuten pro Stunde: So viel Werbung zeigte Amazon bei Prime Video bislang. Doch mittlerweile ist offenbar fast doppelt so viel Werbung zu sehen.

If Western leftists really “treat all warmongering nations equally”, why haven't I heard of russian, belarusian, Iranian, Chinese, Ethiopian, Sudanese, Myanmar, Indian diplomats being assassinated downtown?
Yes, the assassin shouted “#FreePalestine”.

Damn straight he (Trudeau) was a pain, to you. Exactly what we want. https://mstdn.ca/@AlisonCreekside/114729209755196986

Alison Creekside (@AlisonCreekside@mstdn.ca)
Attached: 1 image Pillaged from BlueSky: Secretary of the US Dept of Homeland Security Kristi Noem : "The former Prime Minister of Canada Justin Trudeau is a trainwreck. He was hard to work with. Wasn't willing to share criminal background information with us. Wasn't willing to allow us access to their data systems." #cdnpoli

This https://arxiv.org/abs/2501.03460 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

K-theoretic Tate-Poitou duality at prime 2
We extend the result of Blumberg and Mandell on K-theoretic Tate-Poitou duality at odd primes which serves as a spectral refinement of the classical arithmetic Tate-Poitou duality. The duality is formulated for the $K(1)$-localized algebraic K-theory of the ring of $p$-integers in a number field and its completion using the $\mathbb{Z}_p$-Anderson duality. This paper completes the picture by addressing the prime 2, where the real embeddings of number fields introduce extra complexities. As an a…

Integers for Simple Radical and for Linearly Disjoint Extensions
Julius Kraemer
https://arxiv.org/abs/2506.22102 https://arxiv.org/pd…

Integers for Simple Radical and for Linearly Disjoint Extensions
The ring of integers and its discriminant is determined for simple radical extensions and for linearly disjoint extensions. For simple radical extensions it is determined explicitly. For linearly disjoint extensions it is reduced to the determination of the integers and its discriminant for subfields which do not have a linearly disjoint decomposition. The results include the prime 2.

Terrorism is so bad that human rights had to be suspended to deal with it. Now spraying paint on warplanes counts as terrorism. Our prime minister is an absolute idiot. Supposedly a human rights lawyer; utterly deranged.

At just 3 years old, I have a penthouse suite, 2 passive incomes, a personal chef and driver. Follow me for financial advice.

History keeps repeating, dictators keep pulling each-other's strings.
"In interviews for a book about his Middle East peace efforts, Trump, according to its author, used an expletive to describe the embattled prime minister — “Fuck him,” he reportedly said — and accused Netanyahu of disloyalty."

Measurements of the absolute branching fractions of the doubly Cabibbo-suppressed decays $D^ \to K^ \pi^0$, $D^ \to K^ \eta$ and $D^ \to K^ \eta^{\prime}$
BESIII Collaboration, et al.
https://arxiv.org/abs/2506.15533

Measurements of the absolute branching fractions of the doubly Cabibbo-suppressed decays $D^+\to K^+π^0$, $D^+\to K^+η$ and $D^+\to K^+η^{\prime}$
Using $20.3\,\rm fb^{-1}$ of $e^+e^-$ collision data collected at a center-of-mass energy of 3.773\,GeV with the BESIII detector, we present improved measurements of the absolute branching fractions of the doubly Cabibbo-suppressed decays $D^+\to K^+π^0$, $D^+\to K^+η$ and $ D^+ \to K^+ η^{\prime}$ with the double-tag method. The statistical significance of each signal decay exceeds $10σ$. The branching fractions are determined to be ${\mathcal B}(D^+\to K^+ π^0) = (1.45 \pm 0.06 \pm 0.06)…

On the Density of Prime Imbalances in the Unit Interval
Paul Alexander Bilokon
https://arxiv.org/abs/2506.12063 https://arxiv.org/pdf…

On the Density of Prime Imbalances in the Unit Interval
We prove that the set of normalized differences between primes, defined as $S = \{(p-q)/(p+q) : p > q \text{ are primes}\}$, is dense in the open unit interval $(0,1)$. Our proof provides an explicit construction algorithm with quantitative bounds, relying on elementary results from prime number theory including Bertrand's postulate and explicit bounds on prime gaps in long intervals.

Mongolian Prime Minister Luvsannamsrain Oyun-Erdene resigned this Wednesday after weeks of anti-corruption protests in Ulaanbaatar.
The anti-government demonstrations had begun following reports of extravagant spending by the son of the former Prime Minister. The protests, primarily led by young Mongolians, centered on broader concerns about government corruption, inequality, and the influence of political elites and their families.

Mongolia PM resigns after weeks of anti-corruption protests
Mr Oyun-Erdene will remain as caretaker PM until his successor is appointed within 30 days. Read more at straitstimes.com. Read more at straitstimes.com.

Four stage strategy. we are at stage 3.
https://www.google.com/search?q=four stage strategy yes prime minister&client=safari&sca_esv=714f41f8e6680baa&hl=fr-ch&udm=7&biw=390&bih=658&ei=IC44aISIOZyD9u8P_Zzo4Q0&oq=four stage stra&gs_lp=Ehltb2JpbGUtZ3dzLW1vZGVsZXNzLXZpZGVvIg9mb3VyIHN0YWdlIHN0cmEqAggAMgcQABiABBgTMgcQABiABBgTMggQABgTGBYYHjIIEAAYExgWGB4yBRAhGKABMgUQIRigATIFECEYoAEyBRAhGJ8FSJA8UIoUWPAscAJ4AJABAZgBlwGgAZ4LqgEEMTQuM7gBAcgBAPgBAZgCEqAC-QqoAgHCAggQABiwAxjvBcICCxAAGIAEGLADGKIEwgICECnCAgoQABiABBhDGIoFwgIIEAAYgAQYsQPCAgsQABiABBixAxiDAcICBRAAGIAEwgIOEAAYgAQYsQMYgwEYigXCAgUQABjvBcICCRAAGIAEGBMYCsICCRAAGIAEGBMYDZgDBIgGAZAGBJIHBDE2LjKgB5lJsgcEMTQuMrgH8wrCBwgwLjQuMTAuNMgHYg&sclient=mobile-gws-modeless-video#fpstate=ive&vld=cid:4dd391b4,vid:QYHwgQLvjqs,st:0

I'm 58, prime gammon age. Fortunately, I was educated by the Marxist Jesuits known as The Militant in the '80s.
So, when I see gammons my age, I know them. They were those weird kids "not into politics" in the '80s. THE '80s - Thatcher and Reagan '80s.
They were cunts then, they're cunts now.

Sources and docs: Amazon Prime Video ad load has increased to 4-6 minutes per hour, up from 2-3.5 minutes when ads were first introduced in January 2024 (Mark Stenberg/Adweek)
https://www.adweek.com/media/amazon-doubles-prime-video-ad-load/

EXCLUSIVE: Amazon Doubles Prime Video Ads to 6 Minutes Per Hour
The move could lower CPMs but potentially hurt performance.

The mass of the exo-Venus Gliese 12 b, as revealed by HARPS-N, ESPRESSO, and CARMENES
Daisy A. Turner, Yoshi Nike Emilia Eschen, Felipe Murgas, Annelies Mortier, Thomas G Wilson, Jorge Fern\'andez Fern\'andez, Giuseppe Morello, Shreyas Vissapragada, Jos\'e A. Caballero, Stefan Dreizler, Jo Ann Egger, Alix Violet Freckelton, Nicole Gromek, Artie P. Hatzes, Ben Scott Lakeland, Evangelos Nagel, Luca Naponiello, Hugo M. Tabernero, Siegfried Vanaverbeke, Alexander Venner, Mar\…

The mass of the exo-Venus Gliese 12 b, as revealed by HARPS-N, ESPRESSO, and CARMENES
Small temperate planets are prime targets for exoplanet studies due to their possible similarities with the rocky planets in the Solar System. M dwarfs are promising hosts since the planetary signals are within our current detection capabilities. Gliese 12 b is a Venus-sized temperate planet orbiting a quiet M dwarf. We present here the first precise mass measurement of this small exoplanet. We performed a detailed analysis using HARPS-N, ESPRESSO, and CARMENES radial velocities, along with new…

Quantum-assisted tracer dispersion in turbulent shear flow
Julia Ingelmann, Fabian Schindler, J\"org Schumacher
https://arxiv.org/abs/2506.14586 https…

Quantum-assisted tracer dispersion in turbulent shear flow
We present a quantum-assisted generative algorithm for synthetic tracks of Lagrangian tracer particles in a turbulent shear flow. The parallelism and sampling properties of quantum algorithms are used to build and optimize a parametric quantum circuit, which generates a quantum state that corresponds to the joint probability density function of the classical turbulent velocity components, p(u_1^{\prime}, u_2^{\prime}, u_3^{\prime}). Velocity samples are drawn by one-shot measurements on the qua…

“The band said: ‘You know what’s “not appropriate” Keir?!’ They then used an expletive to accuse the prime minister of arming a genocide.
Israel has strongly denied allegations of genocide relating to the ongoing war in Gaza.”
– BBC
israel has strongly denied that it’s raining, have they, BBC? So tell me, what do you see when you look out the fucking window?
#bbc

The current UK government, supposedly "Labour", looking more and more right-wing as days pass.. And then politicians wonder why people stop voting to the "left" 🙃
"UK will look into more ‘transactional’ approach to granting visas, says Starmer"
h…

Finiteness of associated primes for local cohomology modules of excellent locally unramified regular rings of finite Krull dimension
Takumi Murayama
https://arxiv.org/abs/2506.17875

Finiteness of associated primes for local cohomology modules of excellent locally unramified regular rings of finite Krull dimension
Thirty years ago, Huneke (for local rings) and Lyubeznik (in general) conjectured that for all regular rings $R$, the local cohomology modules $H^i_I(R)$ have finitely many associated prime ideals. We prove substantial new cases of their conjecture by proving that the local cohomology modules $H^i_I(R)$ have finitely many associated prime ideals whenever $R$ is an excellent regular ring of finite Krull dimension such that $R/pR$ is regular and $F$-finite for every prime number $p$. Our result i…

This Github repository conveniently lists and categorizes prime examples of LLM-based agent applications. Each example application features its own repository folder with its source code (Python), and a helpful README.md file describing its installation and use.
Categories include:
1. Starter AI Agents
2. Advanced AI Agents
3. Autonomous Game Playing Agents
4. Multi-Agent Teams
5. Voice AI Agents
6. RAG-Based Agents
"awesome-llm-apps"

Dimensions of compositions modulo a prime
Jia Huang
https://arxiv.org/abs/2506.16953 https://arxiv.org/pdf/2506.16953

Dimensions of compositions modulo a prime
The (ordinary) representation theory of the symmetric group is fascinating and has rich connections to combinatorics, including the Frobenius correspondence to the self-dual graded Hopf algebra of symmetric functions. The $0$-Hecke algebra (of type $A$) is a deformation of the group algebra of the symmetric group, and its representation theory has an analogous correspondence to the dual graded Hopf algebras of quasisymmetric functions and noncommutative symmetric functions. Macdonald used the h…

Morphisms on the modular curve $X_0(p)$ and degree $6$ points
Maarten Derickx, Petar Orli\'c
https://arxiv.org/abs/2506.21166 https://

Morphisms on the modular curve $X_0(p)$ and degree $6$ points
Let $p$ be a prime. We study the morphisms $f:X_0(p)_{\mathbb Q} \to Y$, where $Y/{\mathbb Q}$ is a curve of genus $\geq2$. We prove that for $p<3000$ such an $f$ must be isomorphic to the quotient map $X_0(p)\to X_0^+(p)$. This allows us to classify all points of degree $\leq 25$ on $X_0(p)$ that come from a map to some curve of genus $\geq 2$. As an application, we were able to determine all curves $X_0(p)$ with infinitely many points of degree $6$ over $\mathbb Q$, continuing the previous re…

Cards QB Murray feels 'great' entering his 'prime' https://www.espn.com/nfl/story/_/id/45487756/cardinals-kyler-murray-feels-best-entering-prime

An Analytic Prime Indicator Based on the Fejer Kernel
Sebastian Fuchs
https://arxiv.org/abs/2506.18933 https://arxiv.org/pdf/2506.189…

An Analytic Prime Indicator Based on the Fejer Kernel
This note introduces an analytic prime indicator, constructed by smoothing a trigonometric analogue of trial division. First, a function P: R -> R of class C1 is presented, whose zeros for x > 2 correspond precisely to the odd primes. Its second derivative exhibits jump discontinuities at integer squares. Subsequently, it is shown how this construction can be modified via an infinite series to yield a globally smooth function, P_phi, of class C-inf that preserves this prime-zero property. As a …

What planet is this creature on?
"Prime Minister Keir Starmer urged Iran to return to the negotiating table"
World reacts to US attacks on Iran | Israel-Iran conflict News | Al Jazeera
https://www.aljazeera.com/news/202…

World reacts to US attacks on Iran
A roundup of reactions as US joins Israel’s war and attacks three Iranian nuclear sites.

This https://arxiv.org/abs/2409.07077 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Submonoid Membership in n-dimensional lamplighter groups and S-unit equations
We show that Submonoid Membership is decidable in n-dimensional lamplighter groups $(\mathbb{Z}/p\mathbb{Z}) \wr \mathbb{Z}^n$ for any prime $p$ and integer $n$. More generally, we show decidability of Submonoid Membership in semidirect products of the form $\mathcal{Y} \rtimes \mathbb{Z}^n$, where $\mathcal{Y}$ is any finitely presented module over the Laurent polynomial ring $\mathbb{F}_p[X_1^{\pm}, \ldots, X_n^{\pm}]$. Combined with a result of Shafrir (2024), this gives the first example of…

This https://arxiv.org/abs/2504.10202 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On additive irreducibility of multiplicative subgroups
In this paper, we employ a version of Stepanov's method, developed by Hanson and Petridis, to prove several results on additive irreducibility of multiplicative subgroups in finite fields of prime order $p$. Specifically, we show that if a subgroup $μ_d$ of $d$-th roots of unity satisfies $A-A=μ_d\cup\{0\}$, then $d=2$ or $6$. Additionally, we resolve the Sárközy's conjecture on quadratic residues: for prime $p$, the set $\mathcal R_p$ of quadratic residues modulo $p$ cannot be represented …

🇺🇦 #NowPlaying on KEXP's #Expansions
Noah Coinflip:
🎵 In My Prime
#NoahCoinflip
https://noahcoinflip.bandcamp.com/track/in-my-prime

'I'm entering my prime': Eagles' Saquon Barkley motivated to become the best RB ever after historic season

https://www.cbssports.com…

Generalized Schatunowsky theorem in a weak arithmetic
Hala King, Victor Pambuccian
https://arxiv.org/abs/2506.08256 https://arxiv.org…

Generalized Schatunowsky theorem in a weak arithmetic
Schatunowsky's 1893 theorem, that 30 is the largest number all of whose totatives are primes, has been recently generalized by Kaneko and Nakai. In its generalized form, it states the finiteness of the set of all positive numbers $n$, which, for a fixed prime $p$, have the property that all of $n$'s totatives that are not divisible by any prime less than or equal to $p$ are prime numbers. It is this generalized form that we show holds in a weak arithmetic

Hamilton Cycles In Vertex-Transitive Graphs of Order 10p
Huye Chen, Jingjian Li, Hao Yu
https://arxiv.org/abs/2506.19888 https://arxi…

Hamilton Cycles In Vertex-Transitive Graphs of Order 10p
After a long term efforts, the Hamiltonian problem of connected vertex-transitive graphs of order $pq$ (where $p$ and $q$ are primes) was finally finshed in 2021, see [10]. Fifteen years ago, mathematicians began to challenge this problem for graphs of order $2pq$. Among of them, it was proved in 2012 (see [21]) that every connected vertex-transitive graph of order $10p$ (where $p\neq7$ is a prime) contains a Hamilton path, with the exception of a family of graphs which was recently confirmed i…

Iran said it launched a military attack on an American base in Qatar -- the largest U.S. military installation in the Middle East, according to a statement by the country’s armed forces.
The base, which serves as the forward headquarters for the U.S. Central Command, was considered a prime potential target should Iran retaliate over American strikes on its nuclear installations over the weekend.

Iran Fires Missiles at U.S. Base in Qatar: Live Updates
The target was Al Udeid Air Base, the largest American military installation in the Middle East. Qatar said its air defenses intercepted the attack.

A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application
Qingfeng Sun, Hui Wang, Yanxue Yu
https://arxiv.org/abs/2505.23573

A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application
Let $f$ be a fixed holomorphic primitive cusp form of even weight $k$, level $r$ and trivial nebentypus $χ_r$. Let $q$ be an odd prime with $(q,r)=1$ and let $χ$ be a primitive Dirichlet character modulus $q$ with $χ\neqχ_r$. In this paper, we prove an unconditional Selberg-type zero-density estimate for the family of twisted $L$-functions $L(s, f \otimes χ)$ in the critical strip. As an application, we establish an asymptotic formula for the even moments of the argument function $S(t, f…

This https://arxiv.org/abs/2503.12661 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Extendability of general $K3$ surfaces without Gaussian maps and classification of non-prime Fano threefolds
In arXiv:2409.03960, we introduced an approach to the question of extendability of projective varieties via degeneration to ribbons. In this article we build on these methods to give a new proof of optimal results on the extendability of general non-prime $K3$ surfaces, classification of non-prime Fano threefolds and Mukai varieties and the irreducibility of their Hilbert schemes. The methods in this article also show the non-extendability of prime $K3$ surfaces for infinitely many values of $g…

On the irrationality of certain $p$-adic zeta values
Li Lai, Cezar Lupu, Johannes Sprang
https://arxiv.org/abs/2505.23088 https://arx…

On the irrationality of certain $p$-adic zeta values
A famous theorem of Zudilin states that at least one of the Riemann zeta values $ζ(5), ζ(7), ζ(9), ζ(11)$ is irrational. In this paper, we establish the $p$-adic analogue of Zudilin's theorem. As a weaker form of our result, it is proved that for any prime number $p \geqslant 5$ there exists an odd integer $i$ in the interval $[3,p+p/\log p+5]$ such that the $p$-adic zeta value $ζ_p(i)$ is irrational.

Why Saquon Barkley is using Tiger Woods as motivation to become first consecutive 2,000-yard rusher

https://www.cbssports.com/nfl/news/why-saq

Cubes-difference factor absorbing ideals of a commutative ring
Faranak Farshadifar
https://arxiv.org/abs/2506.19876 https://arxiv.org…

Cubes-difference factor absorbing ideals of a commutative ring
Let $R$ be a commutative ring with. The purpose of this paper is to introduce and investigate cubes-difference factor absorbing ideals of R as a generalization of prime ideals.

New upper bounds on the order of mixed cages of girth 6
Gabriela Araujo-Pardo, Lydia Mirabel Mendoza-Cadena
https://arxiv.org/abs/2506.20003 https://

New upper bounds on the order of mixed cages of girth 6
A $[z,r;g]$-mixed cage is a mixed graph of minimum order such that each vertex has $z$ in-arcs, $z$ out-arcs, $r$ edges, and it has girth $g$, and the minimum order for $[z,r;g]$-mixed graphs is denoted by $n[z,r;g]$. In this paper, we present an infinite family of mixed graphs with girth $6$, that improves, in some cases, the families that we give in G. Araujo-Pardo and L. Mendoza-Cadena. \textit{On Mixed Cages of girth 6}, arXiv:2401.14768v2. In particular, if $q$ is an even prime power w…

This https://arxiv.org/abs/2304.13452 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On signed Mordell-Weil groups for abelian varieties
In this short note, we work in the general framework of supersingular abelian varieties defined over $\mathbb{Q}$. Using Coleman maps constructed by Buuyukboduk--Lei, we define some new objects called ``the multi-signed Mordell-Weil groups" for supersingular abelian varieties, provide an explicit structure of the dual of these groups as an Iwasawa module and prove a control theorem. This recovers the case of elliptic curves over $\mathbb{Q}$ non-ordinary at the prime $p$ with $a_p=0$ studied by…

“Between enabling Israel in Gaza and all of its operations across the Middle East,
and now these strikes in Iran,
we are setting the foundation for the next generation’s ‘War on Terror,’”
said Wes Bryant, who served until earlier this year as the senior analyst and adviser on precision warfare, targeting, and civilian harm mitigation at the Pentagon’s Civilian Protection Center of Excellence.
He questioned the Trump administration’s abrupt shift from negotiating with I…

Self-Proclaimed “Peacemaker” Drags U.S. Into Another War
Heeding the request of Israel’s Prime Minister Benjamin Netanyahu, President Donald Trump dispatched U.S. warplanes to bomb Iran.

Leo Varadkar, who stood down as taoiseach in April 2024,
said he did not think a date should be fixed for an Irish unity referendum
as nationalists did not yet have the numbers to win.
But he said planning for a united Ireland should take place.
"I don't think a united Ireland is inevitable, I think it's something that we have to work towards," he said.
"But I think there are a lot of factors that would suggest that we're on that traje…

Leo Varadkar says Nigel Farage as PM would move Irish unity 'centre stage'
The former Irish prime minister says planning should take place for the possibility of Irish unification.

Patterns in Growth and Distribution of Unbounded Prime Number Walks
Alberto Fraile, Daniel Fern\'andez, Roberto Mart\'inez, Theophanes E. Raptis
https://arxiv.org/abs/2506.15357

Patterns in Growth and Distribution of Unbounded Prime Number Walks
In our previous work, we defined a prime walk (PW) on a square grid and presented several intriguing numerical results. Here, we demonstrate the main conjecture presented there, namely, that the area covered by the prime walk is unbounded. Taking this fact into account, we examine in further detail the properties of the PW and explore new questions that arise naturally in this analysis.

Finding congruences with the WZ method
Li-Quan Feng, Qing-Hu Hou
https://arxiv.org/abs/2506.19221 https://arxiv.org/pdf/2506.19221

Finding congruences with the WZ method
We utilize the Wilf-Zeilberger (WZ) method to establish congruences related to truncated Ramanujan-type series. By constructing hypergeometric terms $f(k, a, b, \ldots)$ with Gosper-summable differences and selecting appropriate parameters, we derive several congruences modulo $p$ and $p^2$ for primes $p > 2$. For instance, we prove that for any prime $p > 2$, \[ \sum_{n=0}^{p-1} \frac{10n+3}{2^{3n}}\binom{3n}{n}\binom{2n}{n}^2 \equiv 0 \pmod{p},\] and \[ \sum_{n=0}^{p-1} \frac{(-1)^n(20n^2+8n+…

Notable NFL players who retired early: Frank Ragnow latest Lions star to walk away from game still in prime

https://www.cbssports.com/nfl/news/…

On the sum of a prime and a square-free number with divisibility conditions
Ethan S. Lee, Rowan O'Clarey
https://arxiv.org/abs/2506.11814 https://

On the sum of a prime and a square-free number with divisibility conditions
We prove that every natural number greater than $2$ can be written as the sum of a prime and a square-free number that is co-prime to any prime $q > 3$. We also demonstrate that this result can be extended in a natural way, by assuming the Generalised Riemann Hypothesis is true.

Save the Redwoods League is working to purchase and conserve Monte Rio Redwoods Expansion,
a missing link to connect 34 square miles of prime coastal redwood habitat in Sonoma County.
As the largest remaining unprotected commercial acreage of redwoods south of the Russian River,
this is a high priority acquisition for the League,
one we must act on right away.

𝘼𝙡𝙡 𝙜𝙞𝙛𝙩𝙨 𝙖𝙧𝙚 𝙗𝙚𝙞𝙣𝙜 𝙙𝙤𝙪𝙗𝙡𝙚𝙙 𝙩𝙤𝙙𝙖𝙮, 𝙨𝙤 𝙬𝙚 𝙘𝙖𝙣 𝙢𝙤𝙫𝙚 𝙦𝙪𝙞𝙘𝙠𝙡𝙮 𝙩𝙤 𝙘𝙤𝙣𝙨𝙚𝙧𝙫𝙚 𝙩𝙝𝙞𝙨 𝙛𝙤𝙧𝙚𝙨𝙩.

…

From dual canonical bases to positroidal subdivisions
Jian-Rong Li, Ayush Kumar Tewari
https://arxiv.org/abs/2506.19443 https://arxiv…

From dual canonical bases to positroidal subdivisions
The Grassmannian cluster algebra $\mathbb{C}[\text{Gr}(k, n)]$ admits a distinguished basis known as the dual canonical basis, whose elements correspond to rectangular semi-standard Young tableaux with $k$ rows and with entries in $[n]$. We establish that each such tableau induces a positroidal subdivision of the hypersimplex $Δ(k,n)$ via a map introduced by Speyer and Williams. For $\text{Gr}(2,n)$, we prove that non-frozen prime tableaux correspond precisely to the coarsest positroidal subdi…

This https://arxiv.org/abs/2504.21333 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the distribution of $αp^2$ modulo one over primes of the form $[n^c]$
Let $[\, \cdot\,]$ be the floor function and $\|x\|$ denote the distance from $x$ to the nearest integer. In this paper we show that whenever $α$ is irrational and $β$ is real then for any fixed $\frac{13}{14}<γ<1$, there exist infinitely many prime numbers $p$ satisfying the inequality \begin{equation*} \|αp^2+β\|< p^{\frac{13-14γ}{29}+\varepsilon} \end{equation*} and such that $p=[n^{1/γ}]$.

Rational isolated $j$-invariants from $X_1(\ell^n)$ and $X_0(\ell^n)$
Abbey Bourdon, \"Ozlem Ejder
https://arxiv.org/abs/2506.19560 https://

Rational isolated $j$-invariants from $X_1(\ell^n)$ and $X_0(\ell^n)$
Let $\ell$ and $n$ be positive integers with $\ell$ prime. The modular curves $X_1(\ell^n)$ and $X_0(\ell^n)$ are algebraic curves over $\mathbb{Q}$ whose non-cuspidal points parameterize elliptic curves with a distinguished point of order $\ell^n$ or a distinguished cyclic subgroup of order $\ell^n$, respectively. We wish to understand isolated points on these curves, which are roughly those not belonging to an infinite parameterized family of points having the same degree. Our first main resu…