Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2018 11 (5)
- Authors
- Leontiev, Vladimir M.
- Contact information
- Leontiev, Vladimir M.: Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia;
- Keywords
- divisibility; sums of binomial coefficients; collection formulas
- 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.
- Pages
- 603–614
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/72091
Journal of Siberian Federal University. Mathematics & Physics / On Divisibility of Some Sums of Binomial Coefficients Arising From Collection Formulas
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