A dimension conjecture for q-analogues of multiple zeta values

2017/08/24 by Bachmann, Henrik, Kuehn, Ulf · 2 citations
#11M32 #13J05 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1708.07464

Abstract

We study a class of q-analogues of multiple zeta values given by certain formal q-series with rational coefficients. After introducing a notion of weight and depth for these q-analogues of multiple zeta values we present dimension conjectures for the spaces of their weight- and depth-graded parts, which have a similar shape as the conjectures of Zagier and Broadhurst-Kreimer for multiple zeta values.

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