Algebraic independence of infinite products generated by Fibonacci numbers

DOI10.21099/tkbjm/1302268248zbMath1218.11071OpenAlexW1568835726MaRDI QIDQ533736

Yohei Tachiya, Taka-aki Tanaka, Takeshi Kurosawa

Publication date: 6 May 2011

Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tkbjm/1302268248

zbMATH Keywords

Fibonacci numbersLucas numbersinfinite productsalgebraic independence

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Transcendence (general theory) (11J81)

Related Items (5)

Transcendence of infinite products involving Fibonacci and Lucas numbers ⋮ Algebraic and arithmetical properties of Mahler infinite products generated by the second degree polynomials ⋮ Algebraic independence results for the values of certain Mahler functions and their application to infinite products ⋮ Algebraic independence of certain infinite products involving the Fibonacci numbers ⋮ Explicit algebraic dependence formulae for infinite products related with Fibonacci and Lucas numbers

This page was built for publication: Algebraic independence of infinite products generated by Fibonacci numbers