EXTENSIONS OF EULER-TYPE SUMS AND RAMANUJAN-TYPE SUMS

DOI10.2206/kyushujm.75.295zbMath1492.65005arXiv2002.12107OpenAlexW3205044762MaRDI QIDQ5030134

Ce Xu

Publication date: 15 February 2022

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.12107

zbMATH Keywords

contour integrationresidue theorempolygamma functionRamanujan-type identityEuler-type sum(multiple) zeta value

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Numerical summation of series (65B10) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items

Extension of the four Euler sums being linear with parameters and series involving the zeta functions, Dirichlet type extensions of Euler sums, Variants of multiple zeta values with even and odd summation indices

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