Checkerboard style Schur multiple zeta values and odd single zeta values
Number Theory
2017-11-28 v2 Combinatorics
Abstract
We give explicit formulas for the recently introduced Schur multiple zeta values, which generalize multiple zeta(-star) values and which assign to a Young tableaux a real number. In this note we consider Young tableaux of various shapes, filled with alternating entries like a Checkerboard. In particular we obtain new sum representation for odd single zeta values in terms of these Schur multiple zeta values. As a special case we show that some Schur multiple zeta values of Checkerboard style, filled with 1 and 3, are given by determinants of matrices with odd single zeta values as entries.
Keywords
Cite
@article{arxiv.1711.04746,
title = {Checkerboard style Schur multiple zeta values and odd single zeta values},
author = {Henrik Bachmann and Yoshinori Yamasaki},
journal= {arXiv preprint arXiv:1711.04746},
year = {2017}
}
Comments
21 pages. Added Corollary 3.7 and the case (a,b)=(1,2) in Section 5