The evaluation of Tornheim double sums. Part 1

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dc.creatorEspinosa, Olivier
dc.creatorMoll, Victor H.
dc.date2005-05-30
dc.date.accessioned2026-07-07T10:15:28Z
dc.date.available2026-07-07T10:15:28Z
dc.descriptionWe provide an explicit formula for the Tornheim double series in terms of integrals involving the Hurwitz zeta function. We also study the limit when the parameters of the Tornheim sum become natural numbers, and show that in that case it can be expressed in terms of definite integrals of triple products of Bernoulli polynomials and the Bernoulli function $A_k (q): = kζ'(1 - k,q)$.
dc.description23 pages, AMS-LaTex, to appear in Journal of Number Theory
dc.identifierhttps://arxiv.org/abs/math/0505647
dc.identifierhttp://arxiv.org/abs/math/0505647
dc.identifierJournal of Number Theory, 116 (2006) 200 - 229
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173186
dc.subjectClassical Analysis and ODEs
dc.subjectNumber Theory
dc.titleThe evaluation of Tornheim double sums. Part 1
dc.typetext

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