An extension of a result of Sierpiński |
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| Authors: | M.A. Nyblom |
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| Affiliation: | Department of Mathematics, RMIT University, GPO Box 2476V, Melbourne, 3001, Vic., Australia |
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| Abstract: | 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 Sierpiński for the convergence of alternating series to irrational values. |
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| Keywords: | Transcendental Generalised Fibonacci numbers |
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