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Start Over Author "Rivoal, T" Publisher elsevier b.v.
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1. Approximants de Pade´ et se´ries hyperge´ome´triques e´quilibre´es

Author

Fischler, S. and Rivoal, T.

Subjects
*APPROXIMATION theory, *ZETA functions, *HYPERGEOMETRIC series, *HYPERGEOMETRIC functions
Abstract

In this paper, we present and solve some very general new Pade´ approximant problems, whose solutions can be expressed with hypergeometric series. These series appear in the proofs of the irrationality of ζ(3), of infinitely many ζ(2n+1), and in essentially all results of this kind in the literature. We also prove two new Diophantine results with this method. [Copyright &y& Elsevier]

Published
2003
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