On the transcendence of some power series
✍ Scribed by Gül Karadeniz Gözeri, Ayten Pekin, Adem Kılıçman
- Book ID
- 120735925
- Publisher
- Springer International Publishing AG
- Year
- 2013
- Tongue
- English
- Weight
- 156 KB
- Volume
- 2013
- Category
- Article
- ISSN
- 1687-1839
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
is transcendental over ޑ X when t is an integer G 2. This is due to Stanley for t even, and independently to Flajolet and to Woodcock and Sharif for the general case. While Stanley and Flajolet used analytic methods and studied the asymptotics of the coefficients of this series, Woodcock and Shari
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