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

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...

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Bibliographic Details
Published in:arXiv.org 2016-12
Main Authors: Bachmann, Henrik, Kuehn, Ulf
Format: Article
Language:English
Subjects:
Analogs
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Summary: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.
ISSN:2331-8422