Quadratic relations for a q-analogue of multiple zeta values
Number Theory
2010-08-05 v1
Abstract
We obtain a class of quadratic relations for a q-analogue of multiple zeta values (qMZV's). In the limit q->1, it turns into Kawashima's relation for multiple zeta values. As a corollary we find that qMZV's satisfy the linear relation contained in Kawashima's relation. In the proof we make use of a q-analogue of Newton series and Bradley's duality formula for finite multiple harmonic q-series.
Keywords
Cite
@article{arxiv.1008.0686,
title = {Quadratic relations for a q-analogue of multiple zeta values},
author = {Yoshihiro Takeyama},
journal= {arXiv preprint arXiv:1008.0686},
year = {2010}
}
Comments
14 pages