Transcendence of certain infinite produc
β
Yohei Tachiya
π
Article
π
2007
π
Elsevier Science
π
English
β 204 KB
We prove the transcendence results for the infinite product , where E k (x), F k (x) are polynomials, Ξ± is an algebraic number, and r 2 is an integer. As applications, we give necessary and sufficient conditions for transcendence of β k=0 (1 ), where F n and L n are Fibonacci numbers and Lucas num