Arithmetic properties of an Euler-type series with polyadic Liouville parameter

DOI10.1134/S1061920821030031zbMath1473.11142OpenAlexW3200145210MaRDI QIDQ2239357

Vladimir G. Chirskii

Publication date: 3 November 2021

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920821030031

zbMATH Keywords

generalized hypergeometric seriesPochhammer symbolLiouville polyadic number

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Transcendence theory of other special functions (11J91) Approximation in non-Archimedean valuations (11J61)

Related Items

Transcendence of \(p\)-adic values of generalized hypergeometric series with transcendental polyadic parameters ⋮ Infinite linear independence with constraints on a subset of prime numbers for values of Euler-type series with polyadic Liouville parameter ⋮ Unnamed Item ⋮ New problems in the theory of transcendental polyadic numbers

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