Algebraic Independence of Sums of Reciprocals of the Fibonacci Numbers

DOI10.1002/MANA.19992020108zbMath0939.11028OpenAlexW2053451811MaRDI QIDQ4256162

Taka-aki Tanaka, Takeshi Toshimitsu, Kumiko Nishioka

Publication date: 2 July 2000

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19992020108

zbMATH Keywords

Fibonacci numbersalgebraic independencesums of reciprocals

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Transcendence (general theory) (11J81) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (3)

Transcendence of certain series involving binary linear recurrences ⋮ Algebraic independence of reciprocal sums of powers of certain Fibonacci-type numbers ⋮ ALGEBRAIC INDEPENDENCE OF CERTAIN MAHLER FUNCTIONS AND OF THEIR VALUES

Cites Work

• Unnamed Item
• Algebraic independence of reciprocal sums of binary recurrences
• On the algebraic independence of holomorphic solutions of certain functional equations and their values
• A class of hypertranscendental functions
• Transcendency Results for Sums of Reciprocals of Linear Recurrences

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