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February 2011 Algebraic independence of infinite products generated by Fibonacci numbers
Takeshi Kurosawa, Yohei Tachiya, Taka-aki Tanaka
Tsukuba J. Math. 34(2): 255-264 (February 2011). DOI: 10.21099/tkbjm/1302268248

Abstract

The aim of this paper is to establish necessary and sufficient conditions for certain infinite products generated by Fibonacci numbers and by Lucas numbers to be algebraically independent.

Citation

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Takeshi Kurosawa. Yohei Tachiya. Taka-aki Tanaka. "Algebraic independence of infinite products generated by Fibonacci numbers." Tsukuba J. Math. 34 (2) 255 - 264, February 2011. https://doi.org/10.21099/tkbjm/1302268248

Information

Published: February 2011
First available in Project Euclid: 8 April 2011

zbMATH: 1218.11071
MathSciNet: MR2808645
Digital Object Identifier: 10.21099/tkbjm/1302268248

Subjects:
Primary: 11J81 , 11J85

Keywords: algebraic independence , Fibonacci numbers , infinite products , Mahler-type functional equation

Rights: Copyright © 2011 University of Tsukuba, Institute of Mathematics

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Vol.34 • No. 2 • February 2011
Department of Mathematics, University of Tsukuba
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