Algebraic independence of infinite products generated by Fibonacci numbers
Kurosawa, Takeshi ; Tachiya, Yohei ; Tanaka, Taka-aki
Tsukuba J. Math., Tome 34 (2011) no. 2, p. 255-264 / Harvested from Project Euclid
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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.
Publié le : 2011-02-15
Classification:  infinite products,  algebraic independence,  Mahler-type functional equation,  Fibonacci numbers,  11J81,  11J85 
@article{1302268248,
     author = {Kurosawa, Takeshi and Tachiya, Yohei and Tanaka, Taka-aki},
     title = {Algebraic independence of infinite products generated by
 Fibonacci numbers},
     journal = {Tsukuba J. Math.},
     volume = {34},
     number = {2},
     year = {2011},
     pages = { 255-264},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1302268248}
}

Kurosawa, Takeshi; Tachiya, Yohei; Tanaka, Taka-aki. Algebraic independence of infinite products generated by
 Fibonacci numbers. Tsukuba J. Math., Tome 34 (2011) no. 2, pp.  255-264. http://gdmltest.u-ga.fr/item/1302268248/