A note on some alternating series involving zeta and multiple zeta values

Author:

Coppo Marc-Antoine

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference18 articles.

1. Recurrence relations for Nörlund numbers and Bernoulli numbers of the second kind;Agoh;Fibonacci Quart.,2010

2. Approximation by special values of harmonic zeta function and log-sine integrals;Alkan;Commun. Number Theory Phys.,2013

3. Zeta and related functions;Apostol,2010

4. Dirichlet series related to the Riemann zeta function;Apostol;J. Number Theory,1984

5. Two series expansions for the logarithm of the gamma function involving Stirling numbers and containing only rational coefficients for certain arguments related to π−1;Blagouchine;J. Math. Anal. Appl.,2016

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2. Global series for height 1 multiple zeta functions;European Journal of Mathematics;2023-10-12

3. On some formulae related to Euler sums;Lithuanian Mathematical Journal;2022-12-07

4. Some alternating sums of multiple zeta values of height one;Journal of Mathematical Analysis and Applications;2021-06

5. Laurent expansion of harmonic zeta functions;Journal of Mathematical Analysis and Applications;2020-11

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