On arithmetic nature of a 𝑞-Euler-double zeta values

DOI10.1090/proc/16653OpenAlexW4386492489MaRDI QIDQ6203198

Tapas Chatterjee, Sonam Garg

Publication date: 27 February 2024

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

Full work available at URL: https://doi.org/10.1090/proc/16653

zbMATH Keywords

\(q\)-seriesmultiple zeta functionNesterenko's theoremdouble Euler Stieltjes constantEuler double zeta values

Mathematics Subject Classification ID

Polylogarithms and relations with (K)-theory (11G55) Irrationality; linear independence over a field (11J72) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Cites Work

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• Cyclic \(q\)-MZSV sum
• Multiple \(q\)-zeta values
• Multiple Stieltjes constants and Laurent type expansion of the multiple zeta functions at integer points
• Refinement of the Chowla-Erdős method and linear independence of certain Lambert series
• On Euler's decomposition formula for \(q\)MZVs
• On 𝑞-analogues of the Euler constant and Lerch’s limit formula
• On 𝑞-analogue of Euler–Stieltjes constants

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