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arXiv · 1708.07464

A dimension conjecture for q-analogues of multiple zeta values

Henrik Bachmann·Ulf Kuehn
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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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Henrik Bachmann, Ulf Kuehn. 2017-08-24. A dimension conjecture for q-analogues of multiple zeta values. https://arxiv.org/abs/1708.07464

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