On \(q\)-analogues of two-one formulas for multiple harmonic sums and multiple zeta star values

DOI10.1007/s00605-014-0715-2zbMath1391.11103arXiv1304.0269OpenAlexW2024208102MaRDI QIDQ2255264

Khodabakhsh Hessami Pilehrood, Tatiana Hessami Pilehrood

Publication date: 9 February 2015

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.0269

zbMATH Keywords

\(q\)-analogues of multiple zeta valuesmultiple zeta valuemultiple harmonic sum\(q\)-binomial identitytwo-one formulas

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (8)

Some \(q\)-congruences for homogeneous and quasi-homogeneous multiple \(q\)-harmonic sums ⋮ Generalization of the non-local derangement identity and applications to multiple zeta-type series ⋮ Generating functions for multiple zeta star values ⋮ Extensions of MacMahon's sums of divisors ⋮ Some results on \(q\)-harmonic number sums ⋮ Multiple zeta functions and polylogarithms over global function fields ⋮ On \(q\)-analogues of quadratic Euler sums ⋮ On \(q\)-analogues of double Euler sums

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