𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the transcendence of certain series

✍ Scribed by Christopher F Woodcock; Habib Sharif


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
281 KB
Volume
121
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Transcendence of certain series involvin
✍ Takeshi Kurosawa πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 228 KB

Duverney and Nishioka [D. Duverney, Ku. Nishioka, An inductive method for proving the transcendence of certain series, Acta Arith. 110 (4) (2003) 305-330] studied the transcendence of k 0 , where E k (z), F k (z) are polynomials, Ξ± is an algebraic number, and r is an integer greater than 1, using a

Transcendence of certain infinite produc
✍ Yohei Tachiya πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 204 KB

We prove the transcendence results for the infinite product , where E k (x), F k (x) are polynomials, α is an algebraic number, and r 2 is an integer. As applications, we give necessary and sufficient conditions for transcendence of ∞ k=0 (1 ), where F n and L n are Fibonacci numbers and Lucas num

A Theorem on Transcendence of Infinite S
✍ M.A. Nyblom πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 149 KB

As an application of Roth's theorem concerning the rational approximation of algebraic numbers, a sufficiency condition is derived for a series of positive rational terms to converge to a transcendental number. This condition is then used to obtain similar sufficiency conditions that exist within th

A Metrical Result on Transcendence Measu
✍ Masaaki Amou πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 339 KB

We give transcendence measures for almost all elements of F q ((1Γ‚T )), the field of formal power series in 1Γ‚T over a finite field F q with q elements. 1996 Academic Press, Inc. where log q x means the logarithmic function with base q. Then our main result is stated as follows.