A binomial coefficient identity associated to a conjecture of Beukers.
Ahlgren, Scott, Ekhad, Shalosh B., Ono, Ken, Zeilberger, Doron (1998)
The Electronic Journal of Combinatorics [electronic only]
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Displaying similar documents to “A binomial coefficient identity associated with Beukers' conjecture on Apéry numbers.”
A binomial coefficient identity associated to a conjecture of Beukers.
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We present some extensions of Chu's formulas and several striking generalizations of some well-known combinatorial identities. As applications, some new identities on binomial sums, harmonic numbers, and the generalized harmonic numbers are also derived.
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We prove a conjecture on supercongruences for sequences that have come to be known as the Almkvist-Zudilin numbers. Some other (naturally) related family of sequences will be considered in a similar vain.
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Guillera, Jesús (2006)
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-analogue of a binomial coefficient congruence.
Clark, W.Edwin (1995)
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