Generating functions for multiple zeta star values
Number Theory
2019-05-21 v2 Classical Analysis and ODEs
Combinatorics
Abstract
We study generating functions for multiple zeta star values in general form. These generating functions provide a connection between multiple zeta star values and multiple Euler sums, which allows us to express each multiple zeta star value in terms of multiple alternating Euler sums, and specifically, reduce the length of blocks of twos in the resulting sums.
Cite
@article{arxiv.1806.09142,
title = {Generating functions for multiple zeta star values},
author = {Khodabakhsh Hessami Pilehrood and Tatiana Hessami Pilehrood},
journal= {arXiv preprint arXiv:1806.09142},
year = {2019}
}
Comments
To appear in Journal de Th\'eorie des Nombres de Bordeaux