Generating functions for sums of polynomial multiple zeta values
Number Theory
2020-11-10 v1
Abstract
The sum formulas for multiple zeta(-star) values and symmetric multiple zeta(-star) values bear a striking resemblance. We explain the resemblance in a rather straightforward manner using an identity that involves the Schur multiple zeta values. We also obtain the sum formula for polynomial multiple zeta(-star) values in terms of generating functions, simultaneously generalizing the sum formulas for multiple zeta(-star) values and symmetric multiple zeta(-star) values.
Cite
@article{arxiv.2011.04220,
title = {Generating functions for sums of polynomial multiple zeta values},
author = {Minoru Hirose and Hideki Murahara and Shingo Saito},
journal= {arXiv preprint arXiv:2011.04220},
year = {2020}
}
Comments
23 pages