On 3-2-1 values of finite multiple harmonic \(q\)-series at roots of unity

DOI10.2969/jmsj/86238623OpenAlexW3210276146MaRDI QIDQ2165748

Roberto Tauraso, Khodabakhsh Hessami Pilehrood, Tatiana Hessami Pilehrood

Publication date: 23 August 2022

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.03576

zbMATH Keywords

roots of unitymultiple harmonic sums\(q\)-analogs

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (1)

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

Cites Work

• Special values of finite multiple harmonic \(q\)-series at roots of unity
• Some \(q\)-congruences for homogeneous and quasi-homogeneous multiple \(q\)-harmonic sums
• On q-Analog of Wolstenholme Type Congruences for Multiple Harmonic Sums
• Cyclotomic analogues of finite multiple zeta values

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