An inductive method for proving the transcendence of certain series

DOI10.4064/aa110-4-1zbMath1049.11078OpenAlexW2017110105MaRDI QIDQ4429663

Kumiko Nishioka, Daniel Duverney

Publication date: 28 September 2003

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa110-4-1

zbMATH Keywords

Fibonacci sequenceMahler's transcendence method

Mathematics Subject Classification ID

Transcendence (general theory) (11J81)

Related Items (11)

Guided by Schwarz’ Functions: A Walk Through the Garden of Mahler’s Transcendence Method ⋮ Transcendence of the values of infinite products in several variables ⋮ On algebraic independence of a class of infinite products ⋮ Algebraic independence of certain Mahler functions ⋮ Transcendence of certain series involving binary linear recurrences ⋮ Transcendence of certain infinite products ⋮ Transcendence of infinite products involving Fibonacci and Lucas numbers ⋮ Algebraic and arithmetical properties of Mahler infinite products generated by the second degree polynomials ⋮ Transcendence criterion for values of certain functions of several variables ⋮ ALGEBRAIC INDEPENDENCE OF CERTAIN MAHLER FUNCTIONS AND OF THEIR VALUES ⋮ Arithmetical properties of certain infinite products

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