An integral representation of the Mordell-Tornheim double zeta function and its values at non-positive integers

DOI10.1007/s11139-008-9130-4zbMath1175.11048OpenAlexW2034274942MaRDI QIDQ1024109

Yasushi Komori

Publication date: 16 June 2009

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-008-9130-4

zbMATH Keywords

integral representationanalytic continuationMordell-Tornheim double zeta function

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Analytic continuation of functions of one complex variable (30B40)

Related Items (7)

On a unified double zeta function of Mordell-Tornheim type ⋮ Mordell-Tornheim multiple zeta values at non-positive integers ⋮ Finite multiple zeta values, symmetric multiple zeta values and unified multiple zeta functions ⋮ Computation and theory of extended Mordell-Tornheim-Witten sums ⋮ Generalized log sine integrals and the Mordell-Tornheim zeta values ⋮ Some relations among Apostol-Vu double zeta values for coordinatewise limits at non-positive integers ⋮ Analytic continuation of multi-variable Arakawa-Kaneko zeta function for positive indices and its values at positive integers

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