On Mordell-Tornheim sums and multiple zeta values
Number Theory
2012-05-02 v1
Abstract
We prove that any Mordell-Tornheim sum with positive integer arguments can be expressed as a rational linear combination of multiple zeta values of the same weight and depth. By a result of Tsumura, it follows that any Mordell-Tornheim sum with weight and depth of opposite parity can be expressed as a rational linear combination of products of multiple zeta values of lower depth.
Cite
@article{arxiv.1205.0037,
title = {On Mordell-Tornheim sums and multiple zeta values},
author = {David M. Bradley and Xia Zhou},
journal= {arXiv preprint arXiv:1205.0037},
year = {2012}
}
Comments
8 pages AMSLaTeX