Transcendence of certain reciprocal sums of linear recurrences

DOI10.1007/s00605-002-0501-4zbMath1012.11062OpenAlexW2035163235MaRDI QIDQ1849690

Taka-aki Tanaka, Tomoaki Kanoko, Daniel Duverney

Publication date: 1 December 2002

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-002-0501-4

zbMATH Keywords

transcendencereciprocal sumsternary linear recurrences

Mathematics Subject Classification ID

Recurrences (11B37) Transcendence (general theory) (11J81)

Related Items (7)

Transcendence of reciprocal sums of binary recurrences ⋮ Transcendence of certain series involving binary linear recurrences ⋮ Transcendence of numbers related with Cahen's constant ⋮ Algebraic independence results for the values of certain Mahler functions and their application to infinite products ⋮ Algebraic independence of reciprocal sums of powers of certain Fibonacci-type numbers ⋮ Transcendental series of reciprocals of Fibonacci and Lucas numbers ⋮ ALGEBRAIC INDEPENDENCE OF CERTAIN MAHLER FUNCTIONS AND OF THEIR VALUES

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