Tootfinder

Local Fourier uniformity of higher divisor functions on average
Mengdi Wang
https://arxiv.org/abs/2402.18342 https://arxiv.org/pdf/24…

Local Fourier uniformity of higher divisor functions on average
Let $τ_k$ be the $k$-fold divisor function. By constructing an approximant of $τ_k$, denoted as $τ_k^*$, which is a normalized truncation of the $k$-fold divisor function, we prove that when $\exp\left(C\log^{1/2}X(\log\log X)^{1/2}\right)\leq H\leq X$ and $C>0$ is sufficiently large, the following estimate holds for almost all $x\in[X,2X]$: \[ \Big|\sum_{x

Mastodon is predicated on community instances, and built for following/engagement with hashtags over accounts.
But if we've learnt anything from Late Capitalism, is that just because something is not needed it doesn't mean you can't build your whole business model around it.
🤦‍♂️
Newsmast brings curated 'communities' to the open source Twitter/X alternative Mastodon | TechCrunch

Selenskyj: Brauchen "Patriots" und Granaten
Trotz einer Belebung westlicher Rüstungshilfen nach monatelanger Pause benötigt die von Russland angegriffene Ukraine eigenen Angaben zufolge weiter Waffen und Munition. Die täglichen russischen Raketenangriffe, die täglichen Angriffe an der Front könnten gestoppt werden, sagte Präsident Wolodymyr Selenskyj in seiner abendlichen Videobotschaft. "Aber dazu …
🐦

Volodymyr Zelenskyy / Володимир Зеленський (@ZelenskyyUa) on X
I have just received reports on the situation in Odesa following a Russian missile strike and in Kharkiv following a Russian guided aerial bomb strike. Unfortunately, a number of people have been killed in Odesa. My condolences to their close ones. Many people have been injured,…

This https://arxiv.org/abs/2312.01141 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the Moser's Bernstein Theorem
In this paper, we prove the following version of the famous Bernstein's theorem: Let $X\subset \mathbb R^{n+k}$ be a closed and connected set with Hausdorff dimension $n$. Assume that $X$ satisfies the monotonicity formula at $p\in X$. Then, the following statements are equivalent: (1) $X$ is an affine linear subspace; (2) $X$ is a definable set that is Lipschitz regular at infinity and its geometric tangent cone at infinity, $C(X,\infty)$, is a linear subspace; (3) $X$ is a definable set…

#30DaysOfBiking, Day 28 = #SPEZI24, Day 2: Rode my KMX recumbent trike to #SPEZI (2x 4km) and rode each of the following bikes at least once through the 750m test course: A

Elon Musk says X plans to make Grok available to all Premium subscribers "later this week", expanding on Premium support; X Premium costs $8 per month (Sarah Perez/TechCrunch)
https://techcrunch.com/2024/03/26/elon

Elon Musk says all Premium subscribers on X will gain access to AI chatbot Grok this week | TechCrunch
Following Elon Musk's xAI's move to open source its Grok large language model earlier in March, the X owner on Tuesday said that the company formerly

*sarc
Sounds great over there!
P.S. Twitter is NOT the “Internet” fgs….
#TwitterEnding #Twitter #Mastodon

It may be whom I'm following where, but I'm seeing a *lot* more about the xz case on Mastodon than on Bluesky

When you set your paperclip optimizers to optimize for "engagement," this is the obvious, inevitable result.
https://www.abc.net.au/news/science/2024-02-28/twitter-x-fighting-bot-problem-as-ai-spam-fl…

Twitter is becoming a 'ghost town' of bots as AI-generated spam content floods the internet
The internet is filling up with machine-generated "zombie content" designed to game algorithms and scam humans. Experts call it the "great AI flood".

This Mothers' Day (Sunday May 12)... join us for a Special Edition Slow Ride to a truly-car-free space in our own back yard: Angel Island!
Meet at the Ferry Building Gate B at 11:30AM, roll at 12PM (SHARP!). The ferry costs $9.50 each way and accepts clipper card.