On the Sum Formula for Multiple q-Zeta Values

Details On the Sum Formula for Multiple q-Zeta Values On the Sum Formula for Multiple q-Zeta Values

2004-11-12

arxiv.org/abs/math/0411274v1

Rocky Mountain Journal of Mathematics, Volume 37, Number 5, 2007, pages 1427--1434.

Mathematics

Quantum Algebra

9 pages, submitted for publication September 30, 2004

Scientific paper

Multiple 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).

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