Formulas for odd zeta values and powers of $π$

Fuente: arXiv
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Hauptverfasser: Chamberland, Marc, Lopatto, Patrick
Format: Preprint
Veröffentlicht: 2024
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author Chamberland, Marc
Lopatto, Patrick
author_facet Chamberland, Marc
Lopatto, Patrick
contents Plouffe conjectured rapidly converging series formulas for $π^{2n+1}$ and $ζ(2n+1)$ for small values of $n$. We find the general pattern for all nonnegative integer values of $n$ and offer a proof.
format Preprint
id arxiv_https___arxiv_org_abs_2406_00567
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Formulas for odd zeta values and powers of $π$
Chamberland, Marc
Lopatto, Patrick
Number Theory
Plouffe conjectured rapidly converging series formulas for $π^{2n+1}$ and $ζ(2n+1)$ for small values of $n$. We find the general pattern for all nonnegative integer values of $n$ and offer a proof.
title Formulas for odd zeta values and powers of $π$
topic Number Theory
url https://arxiv.org/abs/2406.00567