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This article is cited in 3 scientific papers (total 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.
Received: 16.11.2017 Received in revised form: 23.03.2018 Accepted: 20.06.2018
Citation:
Vladimir M. Leontiev, “On divisibility of some sums of binomial coefficients arising from collection formulas”, J. Sib. Fed. Univ. Math. Phys., 11:5 (2018), 603–614
Linking options:
https://www.mathnet.ru/eng/jsfu705 https://www.mathnet.ru/eng/jsfu/v11/i5/p603
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Abstract page: | 157 | Full-text PDF : | 124 | References: | 22 |
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