A short note on a conjecture of Okounkov about a q-analogue of multiple zeta values

Abstract

In [Ok] Okounkov studies a specific $q$-analogue of multiple zeta values and makes some conjectures on their algebraic structure. In this note we compare Okounkovs $q$-analogues to the generating function for multiple divisor sums defined in [BK1]. We also state a conjecture on their dimensions that complements Okounkovs conjectural formula and present some numerical evidences for it.

References in corpus (3)

• The Algebra of a q-Analogue of Multiple Harmonic Series
• The algebra of generating functions for multiple divisor sums and applications to multiple zeta values
• The algebra of bi-brackets and regularised multiple Eisenstein series

Cited by in corpus (1)

• Multiple $q$-zeta brackets