Barnes multiple zeta-functions, Ramanujan's formula, and relevant series involving hyperbolic functions

zbMath1317.11092arXiv1006.3336MaRDI QIDQ4916999

Yasushi Komori, Kohji Matsumoto, Hirofumi Tsumura

Publication date: 26 April 2013

Full work available at URL: https://arxiv.org/abs/1006.3336

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Other Dirichlet series and zeta functions (11M41) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (8)

Ramanujan’s Formula for ζ(2n + 1) ⋮ Explicit transformations of certain Lambert series ⋮ APPROXIMATE FUNCTIONAL EQUATION AND UPPER BOUNDS FOR THE BARNES DOUBLE ZETA-FUNCTION ⋮ Multivariable Faulhaber-type formulas and Barnes zeta functions ⋮ Special values of trigonometric Dirichlet series and Eichler integrals ⋮ ON SOME SERIES IDENTITIES ⋮ Dirichlet series under standard convolutions: variations on Ramanujan's identity for odd zeta values ⋮ Infinite series involving hyperbolic functions

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