Explicit evaluations for several variants of Euler sums

DOI10.1216/rmj.2021.51.1089zbMath1469.11335arXiv2003.07168OpenAlexW3188959281MaRDI QIDQ1983240

Ce Xu

Publication date: 10 September 2021

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.07168

zbMATH Keywords

Euler sumsmultiple zeta valuescontour integrationresidue theoremharmonic numbersparametric digamma function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Other Dirichlet series and zeta functions (11M41) Evaluation of number-theoretic constants (11Y60) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (3)

On variants of the Euler sums and symmetric extensions of the Kaneko-Tsumura conjecture ⋮ Dirichlet type extensions of Euler sums ⋮ Apéry-type series and colored multiple zeta values

Cites Work

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• Integrals of polylogarithmic functions, recurrence relations, and associated Euler sums
• Combinatorial relations for Euler–Zagier sums
• Explicit evaluation of Euler sums
• Derivation and double shuffle relations for multiple zeta values

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