Note on a congruence involving products of binomial coefficients.
Xu, Ping, Pan, Hao (2007)
Integers
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Xu, Ping, Pan, Hao (2007)
Integers
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Gertsch, Anne, Robert, Alain M. (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Dilcher, Karl (2008)
The Electronic Journal of Combinatorics [electronic only]
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Berndt, Bruce C., Ono, Ken (1999)
Séminaire Lotharingien de Combinatoire [electronic only]
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International Journal of Mathematics and Mathematical Sciences
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Mattarei, Sandro, Tauraso, Roberto (2010)
Journal of Integer Sequences [electronic only]
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Romeo Meštrović (2013)
Czechoslovak Mathematical Journal
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Let be a prime, and let be the Fermat quotient of to base . In this note we prove that which is a generalization of a congruence due to Z. H. Sun. Our proof is based on certain combinatorial identities and congruences for some alternating harmonic sums. Combining the above congruence with two congruences by Z. H. Sun, we show that which is just a result established by K. Dilcher and L. Skula. As another application, we obtain a congruence for the sum modulo that also generalizes...
Mattarei, Sandro (2006)
Integers
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Clark, W.Edwin (1995)
International Journal of Mathematics and Mathematical Sciences
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F. Beukers (1986-1987)
Groupe de travail d'analyse ultramétrique
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