On the Sum Formula for Multiple q-Zeta Values

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dc.creatorBradley, David M.
dc.date2004-11-12
dc.date.accessioned2026-07-07T08:39:33Z
dc.date.available2026-07-07T08:39:33Z
dc.descriptionMultiple q-zeta values are a 1-parameter generalization (in fact, a q-analog) of the multiple harmonic sums commonly referred to as multiple zeta values. These latter are obtained from the multiple q-zeta values in the limit as q tends to 1. Here, we discuss the sum formula for multiple q-zeta values, and provide a self-contained proof. As a consequence, we also derive a q-analog of Euler's evaluation of the double zeta function zeta(m,1).
dc.description9 pages, submitted for publication September 30, 2004
dc.identifierhttps://arxiv.org/abs/math/0411274
dc.identifierhttp://arxiv.org/abs/math/0411274
dc.identifierRocky Mountain Journal of Mathematics, Volume 37, Number 5, 2007, pages 1427--1434.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141110
dc.subjectQuantum Algebra
dc.subjectNumber Theory
dc.subject11M41; 11M06, 05A30, 30B50
dc.titleOn the Sum Formula for Multiple q-Zeta Values
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