Tootfinder

#LB Dei boost no meu próprio toot porque eu acho que esta história foi hilšria e merece ser apreciada por mais pessoas rs.
https://social.linux.pizza/@matematico314/1145993…

Rather than embarrassing but infrequent call-outs in the Columbia Journalism Review, the #NYTimes needs regular review by a public editor.
#Journalism #Press

When Brooke Nichols plugged in the data, she couldn’t comprehend what she was seeing.
The mathematician and professor of infectious diseases at Boston University had created a model to predict the human cost of the Department of Government Efficiency’s (Doge) USAid funding cuts.
As Elon Musk, the head of Doge, arrived at the White House on Friday afternoon
to be congratulated by President Trump for his work slashing the federal budget,
the number of deaths on Nichols’…

Doge cuts to USAid blamed for 300,000 deaths — most of them children
Elon Musk’s tenure running Trump’s Department of Government Efficiency has, according to the academic Brooke Nichols, caused thousands of ‘preventable deaths’

Teaching Mathematics for Economists
Eric Hillebrand
https://arxiv.org/abs/2505.22671 https://arxiv.org/pdf/2505.22671

Teaching Mathematics for Economists
In this chapter, I discuss teaching mathematical tools specifically tailored for economics students. A typical one-semester course in this area seeks to blend a range of topics: from foundational elements of subjects such as linear algebra and multivariate calculus to intermediate areas like real and convex analysis and further into advanced topics such as dynamic optimization in both continuous and discrete time. This breadth of coverage corresponds to material usually spread across multiple y…

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…

Quanta Magazine Staff Writer Yasemin Saplakoglu describes the various ongoing inter-disciplinary efforts to advance our scientific understanding of the Human brain. Computer scientists and computational neuroscientists collaborate as the latter borrow mathematical models from the former, and studies ways to incorporate new biological data to enhance, or supplant existing computational models.
"AI Is Nothing Like a Brain, and That's OK."

AI Is Nothing Like a Brain, and That’s OK | Quanta Magazine
The brain’s astounding cellular diversity and networked complexity could show how to make AI better.

Eulers Horizonte -- M\"oglichkeiten und Grenzen seiner Arbeitsweise in der Mathematik
Alexander Aycock
https://arxiv.org/abs/2505.23286 https://

Eulers Horizonte -- Möglichkeiten und Grenzen seiner Arbeitsweise in der Mathematik
A Thesis about Euler discussing the possibilities and limits of his method of work in Mathematics.

This https://arxiv.org/abs/2502.02432 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Some topological genera and Jacobi forms
We revisit and elucidate the $\widehat{A}$-genus, Hirzebruch's $L$-genus and Witten's $W$-genus, cobordism invariants of special classes of manifolds. After slight modification, involving Hecke's trick, we find that the $\widehat{A}$-genus and $L$-genus arise directly from Jacobi's theta function. For every $k\geq 0,$ we obtain exact formulas for the quasimodular expressions of $\widehat{A}_k$ and $L_k$ as ``traces'' of partition Eisenstein series \[ \widehat{\mathcal{A}}_k(τ)= \operatorname{T…

This https://arxiv.org/abs/2410.00646 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Asymptotic moment of fourth power twisted Kloosterman sum
In this paper, we study the asymptotic behavior of the fourth power moment of twisted Kloosterman sums. We express this moment in terms of weighted sums involving Hurwitz class numbers. To derive the asymptotic formula, we employ the theory of harmonic Maass forms and mock modular forms. As a consequence, we also obtain asymptotic average values for certain families of hypergeometric functions over large finite fields.

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…