A Binomial Coefficient Identity Associated with Beukers' Conjecture on Apéry numbers
Keyword(s):
By means of partial fraction decomposition, an algebraic identity on rational function is established. Its limiting case leads us to a harmonic number identity, which in turn has been shown to imply Beukers' conjecture on the congruence of Apéry numbers.
1972 ◽
Vol 45
(3)
◽
pp. 117-119
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1984 ◽
Vol 91
(6)
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pp. 365-367
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