A Theorem on Transcendence of Infinite S
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M.A. Nyblom
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Article
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2001
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Elsevier Science
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English
β 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