Opened 5 months ago

Last modified 9 days ago

#34536 new enhancement

Generalised Bernoulli function

Reported by: gh-Parcly-Taxel Owned by:
Priority: major Milestone:
Component: number theory Keywords: bernoulli transcendental function
Cc: pluschny, gh-DavidAyotte Merged in:
Authors: Jeremy Tan Jie Rui Reviewers:
Report Upstream: N/A Work issues:
Branch: u/gh-Parcly-Taxel/bernoulli (Commits, GitHub, GitLab) Commit: c704e794449aa89a7f0343fbe7b81c2e1377dfc9
Dependencies: Stopgaps:

GitHub link to the corresponding issue

Description (last modified by gh-Parcly-Taxel)

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: ​https://github.com/fredrik-johansson/arb/pull/438

Change History (3)

comment:1 Changed 5 months ago by gh-Parcly-Taxel

Description: modified (diff)

comment:2 Changed 5 months ago by gh-DavidAyotte

Cc: gh-DavidAyotte added

comment:3 Changed 9 days ago by mkoeppe

Milestone: sage-9.8
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