Product formula, global relations, and polyadic numbers

DOI10.1134/S1061920819030051zbMath1425.11135OpenAlexW2971512290WikidataQ127307638 ScholiaQ127307638MaRDI QIDQ2334636

Vladimir G. Chirskii

Publication date: 7 November 2019

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

Full work available at URL: https://doi.org/10.1134/s1061920819030051

zbMATH Keywords

polyadic numbersinfinitely transcendental elements

Mathematics Subject Classification ID

Transcendence (general theory) (11J81) Approximation in non-Archimedean valuations (11J61)

Related Items (12)

Arithmetic properties of the values of generalized hypergeometric series with polyadic transcendental parameters ⋮ Transcendence of \(p\)-adic values of generalized hypergeometric series with transcendental polyadic parameters ⋮ Polyadic Liouville numbers ⋮ Arithmetic properties of values at polyadic Liouville points of Euler-type series with polyadic Liouville parameter ⋮ Infinite linear independence with constraints on a subset of prime numbers for values of Euler-type series with polyadic Liouville parameter ⋮ On polyadic Liouville numbers ⋮ Unnamed Item ⋮ Arithmetic properties of an Euler-type series with polyadic Liouville parameter ⋮ Arithmetic properties of Euler-type series with a Liouvillian polyadic parameter ⋮ Arithmetic properties of generalized hypergeometric \(F\)-series ⋮ New problems in the theory of transcendental polyadic numbers ⋮ Euler's factorial series, Hardy integral, and continued fractions

Cites Work

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• Euler's factorial series and global relations
• Representations of positive integers
• Arithmetic properties of polyadic series with periodic coefficients
• Effective estimates for global relations on Euler-type series
• A CRITERION FOR THE ALGEBRAIC INDEPENDENCE OF VALUES OF A CLASS OF HYPERGEOMETRIC $ E$-FUNCTIONS
• On applications of diophantine approximations
• ESTIMATES FROM BELOW OF POLYNOMIALS IN THE VALUES OF ANALYTIC FUNCTIONS OF A CERTAIN CLASS
• Неприводимость гипергеометрических уравнений и алгебраическая независимость значений E-функций
• Arithmetic properties of polyadic series with periodic coefficients
• Arithmetic properties of generalized hypergeometric \(F\)-series

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