A dimension conjecture for q-analogues of multiple zeta values
Number Theory
2017-08-25 v1
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.
Cite
@article{arxiv.1708.07464,
title = {A dimension conjecture for q-analogues of multiple zeta values},
author = {Henrik Bachmann and Ulf Kuehn},
journal= {arXiv preprint arXiv:1708.07464},
year = {2017}
}
Comments
22 pages