Transcendence of certain 2-adic numbers
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Publication:6500291
DOI10.22405/2226-8383-2023-24-5-237-243MaRDI QIDQ6500291
Publication date: 10 May 2024
Published in: Chebyshevskiĭ Sbornik (Search for Journal in Brave)
Algebraic independence; Gel'fond's method (11J85) Transcendence (general theory) (11J81) Approximation in non-Archimedean valuations (11J61)
Cites Work
- On the algebraic independence of certain Liouville numbers
- Transcendental numbers. With a foreword by W. Dale Brownawell. Transl. from the Russian by Neal Koblitz
- Euler's factorial series, Hardy integral, and continued fractions
- Arithmetic properties of Euler-type series with a Liouvillian polyadic parameter
- Product formula, global relations, and polyadic numbers
- Arithmetic properties of the values of generalized hypergeometric series with polyadic transcendental parameters
- Arithmetic properties of generalized hypergeometric \(F\)-series
- Transcendence of \(p\)-adic values of generalized hypergeometric series with transcendental polyadic parameters
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