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Alternating multiple zeta values, and explicit formulas of some Euler–Apéry-type series

  • Published:2021-03 Issue: Volume:93 Page:103283
  • ISSN:0195-6698
  • Container-title:European Journal of Combinatorics
  • language:en
  • Short-container-title:European Journal of Combinatorics

Author:

Wang Weiping,Xu Ce

Funder

National Natural Science Foundation of China

Fundamental Research Funds of Zhejiang Sci-Tech University, China

China Scholarship Council

Scientific Research Foundation for Scholars of Anhui Normal University, China

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics

Reference57 articles.

1. The package Harmonicsums: computer algebra and analytic aspects of nested sums;Ablinger,2014

2. Discovering and proving infinite binomial sums identities;Ablinger;Exp. Math.,2017

3. Discovering and proving infinite Pochhammer sum identities;Ablinger;Exp. Math.,2019

4. Borwein and Bradley’s Apéry-like formulae for ζ(4n+3);Almkvist;Exp. Math.,1999

5. Series representations for some mathematical constants;Alzer;J. Math. Anal. Appl.,2006

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1. Apéry-type series and colored multiple zeta values;Advances in Applied Mathematics;2024-02

2. An Algorithm for a Class of Infinite Series Involving Multiple Harmonic Numbers;Pure Mathematics;2024

3. Sums involving the binomial coefficients, Bernoulli numbers of the second kind and harmonic numbers;Notes on Number Theory and Discrete Mathematics;2023-02-27

4. Harmonic-binomial Euler-like sums via expansions of $$(\arcsin x)^p$$;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2021-10-19

5. Evaluations of some Euler-Apéry-type series;Indian Journal of Pure and Applied Mathematics;2021-09-28
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