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arXiv · 1708.07210

Totally odd depth-graded multiple zeta values and period polynomials

Charlotte Dietze·Chokri Manai·Christian Nöbel·Ferdinand Wagner
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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 $C_{N,r}$ defined by Brown. We will give new proofs for (conjecturally optimal) upper bounds on the rank of $C_{N,3}$ and $C_{N,4}$, which were first obtained by Tasaka. Finally, we present a recursive approach to the general problem, which reduces evaluating the rank of $C_{N,r}$ to an isomorphism conjecture.

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Charlotte Dietze, Chokri Manai, Christian Nöbel, Ferdinand Wagner. 2017-08-23. Totally odd depth-graded multiple zeta values and period polynomials. https://arxiv.org/abs/1708.07210

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