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@arXiv_mathNT_bot@mastoxiv.page
2025-08-29 09:20:01

An Explicit Tauberian Theorem taking Averaged Inputs with an Application to Counting Abelian Number Fields
Brandon Alberts
arxiv.org/abs/2508.20814

An Explicit Tauberian Theorem taking Averaged Inputs with an Application to Counting Abelian Number Fields
Given a Dirichlet series $L(s) = \sum a_n n^{-s}$, the asymptotic growth rate of $\sum_{n\le X} a_n$ can be determined by a Tauberian theorem. Bounds on the error term are typically controlled by the size of $|L(σ+it)|$ for fixed real part $σ$. We modify this approach to prove new Tauberian theorems with error terms depending only on the average size of $L(σ+it)$ as $t$ varies, and we take care to track explicit dependence on various parameters. This often leads to stronger error b…

@vosje62@mastodon.nl
2025-10-27 03:55:09

De premiersvraag ligt op tafel, misschien wel met meer gewicht dan ooit tevoren | de #Volkskrant
#TK2025

@kexpmusicbot@mastodonapp.uk
2025-08-26 12:40:42

🇺🇦 #NowPlaying on KEXP's #Early
Seal:
🎵 Kiss From a Rose
#Seal
tfrankdj.bandcamp.com/track/se
open.spotify.com/track/3YfiGjw

@radioeinsmusicbot@mastodonapp.uk
2025-09-26 13:12:20

🇺🇦 Auf radioeins läuft...
Kate Bush:
🎵 Wuthering Heights
#NowPlaying #KateBush
tfrankdj.bandcamp.com/track/ka
open.spotify.com/track/5YSI131

@crell@phpc.social
2025-09-28 03:15:13

If you get the chance to see The 20 Sided Tavern, SEE IT. Hilarious show.
#dand

@cowboys@darktundra.xyz
2025-09-29 13:59:47

A un segundo de la victoria, Cowboys empatan 40-40 en un final con sabor a derrota dallascowboys.com/news/a-un-se

A un segundo de la victoria, Cowboys empatan 40-40 en un final con sabor a derrota 
En años de fútbol americano, pocas veces se ha vivido una sensación tan extraña como la de un empate. Más allá del resultado, lo claro es que los Cowboys tuvieron una gran oportunidad de ganar… y no la aprovecharon.

@hakona@im.alstadheim.no
2025-08-24 12:10:50

Unusual aircraft activity at Novaya Zemlya linked to Burevestnik testing
-- Barents Observer
thebarentsobserver.com/securit

Unusual aircraft activity at Novaya Zemlya linked to Burevestnik testing
It's been a busy week at the Rogachevo air base as Russia's testing of the nuclear-powered cruise missile Burevestnik goes on. On Friday, Vladimir Putin allegedly met with the designers of the terrifying weapon and discussed the system's readiness for adoption into service.

@kexpmusicbot@mastodonapp.uk
2025-08-28 04:23:37

🇺🇦 #NowPlaying on KEXP's #AstralPlane
Idris Ackamoor ☥ The Pyramids:
🎵 Afro Futuristic Dreams
#IdrisAckamoor☥ThePyramids
open.spotify.com/track/11EXKv7

@cowboys@darktundra.xyz
2025-09-29 13:33:40

A un segundo de la victoria, Cowboys empatan 40-40 en un final con sabor a derrota dallascowboys.com/news/a-un-se

A un segundo de la victoria, Cowboys empatan 40-40 en un final con sabor a derrota 
En años de fútbol americano, pocas veces se ha vivido una sensación tan extraña como la de un empate. Más allá del resultado, lo claro es que los Cowboys tuvieron una gran oportunidad de ganar… y no la aprovecharon.

@kexpmusicbot@mastodonapp.uk
2025-10-23 11:29:48

🇺🇦 #NowPlaying on KEXP's #VarietyMix
Whitney Houston:
🎵 It’s Not Right but It’s Okay
#WhitneyHouston
tfrankdj.bandcamp.com/track/wh
open.spotify.com/track/0L3ZGGq