A note on the sum of finite multiple harmonic q -series on r -( r + 1) indices

DOI10.2989/16073606.2022.2152752arXiv2109.04333MaRDI QIDQ6081351

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Publication date: 25 October 2023

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.04333

zbMATH Keywords

roots of unitymultiple harmonic sumsfinite multiple harmonic \(q\)-series

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Power series (including lacunary series) in one complex variable (30B10) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Cites Work

• Unnamed Item
• Special values of finite multiple harmonic \(q\)-series at roots of unity
• Multiple \(q\)-zeta functions and multiple \(q\)-polylogarithms
• Multiple \(q\)-zeta values
• On 3-2-1 values of finite multiple harmonic \(q\)-series at roots of unity
• The algebra of a \(q\)-analogue of multiple harmonic series
• Sum of interpolated finite multiple harmonic \(q\)-series
• Cyclotomic analogues of finite multiple zeta values
• On the sum formula for the $q$-analogue of non-strict multiple zeta values

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