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ON DIVISIBILITY OF BINOMIAL COEFFICIENTS

Part of: Elementary number theory Sequences and sets

Published online by Cambridge University Press:  19 September 2012

ZHI-WEI SUN
ZHI-WEI SUN*
Affiliation:
Department of Mathematics, Nanjing University, Nanjing 210093, PR China (email: zwsun@nju.edu.cn)
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Abstract

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In this paper, motivated by Catalan numbers and higher-order Catalan numbers, we study factors of products of at most two binomial coefficients.

Keywords

binomial coefficientsdivisibilitycongruencesCatalan numbers

MSC classification

Secondary: 11B65: Binomial coefficients; factorials; $q$-identities 11A07: Congruences; primitive roots; residue systems
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 93 , Issue 1-2 , October 2012 , pp. 189 - 201
Copyright
Copyright © 2012 Australian Mathematical Publishing Association Inc.

References

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