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Multiple zeta values and multiple Apéry-like sums

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Publication:2031265
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DOI10.1016/j.jnt.2021.02.008zbMath1479.11147arXiv1912.05204OpenAlexW3138007079MaRDI QIDQ2031265

P. Akhilesh

Publication date: 8 June 2021

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.05204


zbMATH Keywords

multiple zeta valuesmultiple Apéry-like sums


Mathematics Subject Classification ID

Multiple Dirichlet series and zeta functions and multizeta values (11M32)




Cites Work

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  • Double tails of multiple zeta values
  • Mixed Tate motives over \(\mathbb{Z}\)
  • Evaluation of the multiple zeta values \(\zeta(2,\ldots,2,3,2,\ldots,2)\)
  • Bivariate identities for values of the Hurwitz zeta function and supercongruences
  • On the series \(\sum ^{\infty}_{k=1}\binom{2k}{k}^{-1}k^{-n}\) and related sums
  • Integer powers of arcsin
  • Some new identities for \(\zeta(k)\).
  • Notes on motivic periods
  • Multiple zeta values of fixed weight, depth, and height
  • Experimental Determination of Apéry-like Identities for ς(2n + 2)
  • La fonction zêta de Riemann prend une infinité de valeurs irrationnelles aux entiers impairs
  • INFINITE SERIES WITH HARMONIC NUMBERS AND CENTRAL BINOMIAL COEFFICIENTS
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