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Motivic double zeta values of odd weight (1710.02244v3)
Published 6 Oct 2017 in math.NT
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.