Signed q-Analogs of Tornheim's Double Series

Simple item page
dc.creatorZhou, Xia
dc.creatorCai, Tianxin
dc.creatorBradley, David M.
dc.date2007-05-04
dc.date2008-07-18
dc.date.accessioned2026-07-07T09:50:46Z
dc.date.available2026-07-07T09:50:46Z
dc.descriptionWe introduce signed q-analogs of Tornheim's double series, and evaluate them in terms of double q-Euler sums. As a consequence, we provide explicit evaluations of signed and unsigned Tornheim double series, and correct some mistakes in the literature.
dc.description12 pages, AMSLaTeX. The multinomial notation introduced on page 3 just before Theorem 1 is insufficiently general in version 1, since it may happen that the upper number is negative. This is corrected in version 2, which allows for a negative or even complex upper argument
dc.identifierhttps://arxiv.org/abs/0705.0698
dc.identifierhttp://arxiv.org/abs/0705.0698
dc.identifierProceedings of the American Mathematical Society, Vol 136, No. 8, August 2008, pp. 2689--2698
dc.identifierdoi:10.1090/S0002-9939-08-09208-3
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165059
dc.subjectNumber Theory
dc.subjectClassical Analysis and ODEs
dc.subject11M41; 05A30; 30B50
dc.titleSigned q-Analogs of Tornheim's Double Series
dc.typetext

Files

Collections

arXiv