Arithmetic properties of Euler-type series with a Liouvillian polyadic parameter
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Publication:2243800
DOI10.1134/S1064562420050300zbMath1491.11072OpenAlexW3119638458MaRDI QIDQ2243800
Publication date: 11 November 2021
Published in: Doklady Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1064562420050300
Algebraic independence; Gel'fond's method (11J85) Transcendence theory of other special functions (11J91) Transcendence (general theory) (11J81) Approximation in non-Archimedean valuations (11J61)
Related Items (8)
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 ⋮ New problems in the theory of transcendental polyadic numbers
Cites Work
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- On the arithmetic properties of generalized hypergeometric series with irrational parameters
- Arithmetic properties of generalized hypergeometric \(F\)-series
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