Henrik Bachmann, Ulf Kuehn
Published 2017-08-24Version 1
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.
Multiple Eisenstein series and q-analogues of multiple zeta values
On Multiple Zeta Values of Even Arguments
Iterated integrals on $\mathbb{P}^{1}\setminus\{0,1,\infty,z\}$ and a class of relations among multiple zeta values
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