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

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arxiv 1407.6796 v2 pith:RDKQGEPX submitted 2014-07-25 math.NT

Henrik Bachmann , Ulf Kuehn This is my paper · ORCID
classification math.NT
keywords multipleconjecturenoteokounkovokounkovssomevalueszeta
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Equivariant Chern character operators and Okounkov's conjecture

    math.AG 2025-05 conditional novelty 6.0 of 10

    For k=0,1,2 the equivariant Chern character operators on Hilbert schemes of C^2 match vertex-operator coefficients, giving a partial verification of Okounkov's conjecture and new leading-term formulas.

  2. Multiple q-zeta values and traces

    math.NT 2025-05 conditional novelty 6.0 of 10

    The coefficients of the deformed Bloch-Okunov 1-point function and related products are multiple q-zeta values of matching weight.

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