Totally odd depth-graded multiple zeta values and period polynomials
Number Theory
2023-10-13 v2
Abstract
Inspired by a paper of Tasaka, we study the relations between totally odd, motivic depth-graded multiple zeta values. Our main objective is to determine the rank of the matrix defined by Brown. We will give new proofs for (conjecturally optimal) upper bounds on the rank of and , which were first obtained by Tasaka. Finally, we present a recursive approach to the general problem, which reduces evaluating the rank of to an isomorphism conjecture.
Cite
@article{arxiv.1708.07210,
title = {Totally odd depth-graded multiple zeta values and period polynomials},
author = {Charlotte Dietze and Chokri Manai and Christian Nöbel and Ferdinand Wagner},
journal= {arXiv preprint arXiv:1708.07210},
year = {2023}
}
Comments
New version, taking recent developments into account, 14 pages