A Dimension Conjecture for q-Analogues of Multiple Zeta Values

DOI10.1007/978-3-030-37031-2_9zbMath1444.81021arXiv1708.07464OpenAlexW3013222346MaRDI QIDQ3304299

Henrik Bachmann, Ulf Kühn

Publication date: 5 August 2020

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.07464

zbMATH Keywords

modular formsmultiple zeta valuesdimension conjecture\(q\)-analogues of multiple zeta values

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Polylogarithms and relations with (K)-theory (11G55) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (7)

The algebra of generating functions for multiple divisor sums and applications to multiple zeta values ⋮ Combinatorial multiple Eisenstein series ⋮ A \(q\)-analogue of symmetric multiple zeta value ⋮ Partitions, multiple zeta values and the \(q\)-bracket ⋮ Balanced multiple q-zeta values ⋮ Multiple Eisenstein Series and q-Analogues of Multiple Zeta Values ⋮ On \(q\)-analogues of two-one formulas for multiple harmonic sums and multiple zeta star values

Uses Software

• PARI/GP

Cites Work

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