Algebraic independence of subseries over arithmetical progressions of certain exponential power series

DOI10.1016/j.indag.2015.09.003zbMath1330.11050OpenAlexW2154162194MaRDI QIDQ904171

Iekata Shiokawa, Takeshi Kurosawa

Publication date: 12 January 2016

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2015.09.003

zbMATH Keywords

Fibonacci numbersexponential generating functionsalgebraic independenceLindemann-Weierstrass theoremsubseries mod \(q\)

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Transcendence theory of other special functions (11J91) Arithmetic progressions (11B25)

Cites Work

• Algebraic independence of values of exponential type power series
• On generalized hyperbolic functions and their characterization by functional equations
• Transcendental numbers. With a foreword by W. Dale Brownawell. Transl. from the Russian by Neal Koblitz
• Generalized hyperbolic functions, circulant matrices and functional equations
• Algebraic independence results for reciprocal sums of Fibonacci numbers
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