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A proof of Kummer's theorem

Bruno Gauthier
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Abstract

Following suggestions of T. H. Koornwinder, we give a new proof of Kummer's theorem involving Zeilberger's algorithm, the WZ method and asymptotic estimates. In the first section, we recall a classical proof given by L. J. Slater. The second section discusses the new proof, in the third section sketches of similar proofs for Bailey's and Dixon's theorems are given.

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Bruno Gauthier. 1999-04-15. A proof of Kummer's theorem. https://arxiv.org/abs/math/9904061

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