On values of the Riemann zeta function at positive integers

DOI10.1007/s10986-019-09456-7zbMath1472.11231OpenAlexW2981739790WikidataQ126981428 ScholiaQ126981428MaRDI QIDQ779834

Ayhan Dil, Khristo N. Boyadzhiev, Ilham A. Aliev

Publication date: 14 July 2020

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-019-09456-7

zbMATH Keywords

polylogarithmRiemann zeta functiongenerating functionBernoulli numbersApéry's constant

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) (zeta (s)) and (L(s, chi)) (11M06) Other functions defined by series and integrals (33E20)

Related Items (6)

On some formulae related to Euler sums ⋮ Laurent expansion of harmonic zeta functions ⋮ Stieltjes constants appearing in the Laurent expansion of the hyperharmonic zeta function ⋮ Unnamed Item ⋮ New identities involving Cauchy numbers, harmonic numbers and zeta values ⋮ Character gamma functions and evaluation of series with Dirichlet \(L\)-value coefficients

Uses Software

• OEIS

Cites Work

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• A proof that Euler missed. Apéry's proof of the irrationality of \(\zeta(3)\). An informal report
• Notes on the Binomial Transform
• A Short Proof of the Explicit Formula for Bernoulli Numbers
• The Operator and Its Applications to Series
• Some Integrals of the Arctangent Function
• Some definite integrals associated with the Riemann zeta function

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