Transcendence of \(p\)-adic values of generalized hypergeometric series with transcendental polyadic parameters

DOI10.1134/s1064562423700710OpenAlexW4386288086MaRDI QIDQ6095196

Vladimir G. Chirskii

Publication date: 7 September 2023

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562423700710

zbMATH Keywords

polyadic Liouville numberstranscendental \(p\)-adic numbers

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Transcendence theory of other special functions (11J91) Transcendence (general theory) (11J81) Approximation in non-Archimedean valuations (11J61)

Cites Work

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• A CRITERION FOR THE ALGEBRAIC INDEPENDENCE OF VALUES OF A CLASS OF HYPERGEOMETRIC $ E$-FUNCTIONS
• On applications of diophantine approximations
• Неприводимость гипергеометрических уравнений и алгебраическая независимость значений E-функций
• HERMITE-PADÉ APPROXIMANTS OF GENERALIZED HYPERGEOMETRIC FUNCTIONS

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