An extension of a result of Sierpiński
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M.A. Nyblom
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Article
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2004
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Elsevier Science
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English
⚖ 231 KB
As an application of Roth's theorem concerning the rational approximation of algebraic numbers, two sufficiency conditions are derived for an alternating series of rational terms to converge to a transcendental number. The first of these conditions represents an extension of an earlier condition of