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Generalised Bernoulli function #34536

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Parcly-Taxel mannequin opened this issue Sep 15, 2022 · 1 comment
Open

Generalised Bernoulli function #34536

Parcly-Taxel mannequin opened this issue Sep 15, 2022 · 1 comment

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Parcly-Taxel mannequin commented Sep 15, 2022

This ticket implements in bernoulli_gen() the generalised Bernoulli function described in Peter Luschny's "An introduction to the Bernoulli function" (https://arxiv.org/abs/2009.06743):

B(s,x) = -s ζ(1-s,x) if s ≠ 0, 1 if s = 0

Arb PR: flintlib/arb#438

CC: @PeterLuschny @DavidAyotte

Component: number theory

Keywords: bernoulli transcendental function

Author: Jeremy Tan Jie Rui

Branch/Commit: u/gh-Parcly-Taxel/bernoulli @ c704e79

Issue created by migration from https://trac.sagemath.org/ticket/34536

@Parcly-Taxel Parcly-Taxel mannequin added this to the sage-9.8 milestone Sep 15, 2022
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@mkoeppe mkoeppe removed this from the sage-9.8 milestone Jan 29, 2023
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