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A Theorem on Infinite Products

โœ Scribed by Titchmarsh, E. C.


Book ID
120100987
Publisher
Oxford University Press
Year
1926
Tongue
English
Weight
71 KB
Volume
s1-1
Category
Article
ISSN
0024-6107

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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