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arXiv · 1710.02244

Motivic double zeta values of odd weight

Jiangtao Li·Fei Liu
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Abstract

For odd $N\geq 5$, we establish a short exact sequence about motivic double zeta values $\zeta^{\mathfrak{m}}(r,N-r)$ with $r\geq3$ odd, $N-r\geq2$. From this we classify all the relations among depth-graded motivic double zeta values $\zeta^{\mathfrak{m}}(r,N-r)$ with $r\geq3$ odd, $N-r\geq2$. As a corollary, we confirm a conjecture of Zagier on the rank of a matrix which concerns relations among multiple zeta values of odd weight.

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Jiangtao Li, Fei Liu. 2017-10-06. Motivic double zeta values of odd weight. https://doi.org/10.1007/s11040-020-09338-2

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