On 𝑞-analogue of Euler–Stieltjes constants

DOI10.1090/proc/16288OpenAlexW4321184624MaRDI QIDQ5880237

Sonam Garg, Tapas Chatterjee

Publication date: 7 March 2023

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

Full work available at URL: https://doi.org/10.1090/proc/16288

zbMATH Keywords

Riemann zeta functionStieltjes constants\(q\)-seriesEisenstein seriesEulerian numbersNesterenko's theoremStirling number of first kind

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Transcendence (general theory) (11J81) (q)-gamma functions, (q)-beta functions and integrals (33D05) Irrationality; linear independence over a field (11J72)

Related Items (1)

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

Cites Work

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• A series representation of Euler-Stieltjes constants and an identity of Ramanujan
• Refinement of the Chowla-Erdős method and linear independence of certain Lambert series
• Shifted Euler constants and a generalization of Euler-Stieltjes constants
• Transcendental values of the p-adic digamma function
• Generalized Euler constants for arithmetical progressions
• Euler constants for arithmetic progressions
• The p-Adic Log Gamma Function and p-Adic Euler Constants
• Generalised Euler constants
• On 𝑞-analogues of the Euler constant and Lerch’s limit formula
• The digamma function, Euler–Lehmer constants and their p-adic counterparts

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