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Divisibility properties of a class of binomial sums

โœ Scribed by Marc Chamberland; Karl Dilcher

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
186 KB
Volume
120
Category
Article
ISSN
0022-314X

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โœฆ Synopsis

We study congruence and divisibility properties of a class of combinatorial sums that involve products of powers of two binomial coefficients, and show that there is a close relationship between these sums and the theorem of Wolstenholme. We also establish congruences involving Bernoulli numbers, and finally we prove that under certain conditions the sums are divisible by all primes in specific intervals.

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