The ubiquitous Apéry number

DOI10.1007/s00283-022-10226-6zbMath1525.40005OpenAlexW4310142192MaRDI QIDQ6114800

Paul Levrie

Publication date: 12 July 2023

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00283-022-10226-6

zbMATH Keywords

Riemann zeta functionApéry's constantEuler's problemzeta-3 problem$\zeta(3)$

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Approximation to limiting values (summation of series, etc.) (40A25) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory (11-01) Research exposition (monographs, survey articles) pertaining to sequences, series, summability (40-02)

Cites Work

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• On some series containing \(\psi{}(x)-\psi{}(y)\) and \((\psi{}(x)- \psi{}(y))^ 2\) for certain values of \(x\) and \(y\)
• (Almost) impossible integrals, sums, and series. With a foreword by Paul J. Nahin
• Discovering and Proving Infinite Binomial Sums Identities
• Infinite summation formulas related to Riemann Zeta function from hypergeometric series

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