Algebraic independence of certain power series of algebraic numbers

DOI10.1016/0022-314X(86)90080-6zbMath0589.10035MaRDI QIDQ1073831

Kumiko Nishioka

Publication date: 1986

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

p-adic fieldp-adic methodalgebraic independence of power series of algebraic numbers

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Algebraic independence; Gel'fond's method (11J85)

Related Items (8)

Algebraic independence of three Liouville series ⋮ Proof of Masser's conjecture on the algebraic independence of values of Liouville series ⋮ Algebraic independence of certain entire functions of two variables generated by linear recurrences ⋮ Algebraic independence of Mahler functions and their values ⋮ Unnamed Item ⋮ Algebraic independence of the partial derivatives of certain functions with arbitrary number of variables ⋮ Irrationality of infinite series ⋮ New results on algebraic independence with Mahler's method

Cites Work

• Über algebraische Unabhängigkeit bei gewissen nichtfortsetzbaren Potenzreihen
• Algebraic independence of certain gap series
• On the transcendence of certain power series of algebraic numbers
• Unnamed Item

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