This article is cited in 3 papers

On divisibility of some sums of binomial coefficients arising from collection formulas

Vladimir M. Leontiev

Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia

Abstract: In this paper we establish a series of identities for sums of binomial coefficients to prove their divisibility by prime $n$. These sums arise from exponents of commutators in collection formula for $(xy)^n$ with some restrictions on variables of the commutators.

Keywords: divisibility, sums of binomial coefficients, collection formulas.

UDC: 511.172 511.178

Received: 16.11.2017
Received in revised form: 23.03.2018
Accepted: 20.06.2018

Language: English

DOI: 10.17516/1997-1397-2018-11-5-603-614

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