On the Sum Formula for Multiple q-Zeta Values
量子代数
2007-10-31 v1 数论
摘要
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).
引用
@article{arxiv.math/0411274,
title = {On the Sum Formula for Multiple q-Zeta Values},
author = {David M. Bradley},
journal= {arXiv preprint arXiv:math/0411274},
year = {2007}
}
备注
9 pages, submitted for publication September 30, 2004