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A theorem on the transcendency of a function

✍ Scribed by Xiuyuan Yu


Publisher
Springer
Year
1998
Tongue
English
Weight
258 KB
Volume
43
Category
Article
ISSN
1001-6538

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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