On Divisibility of Some Sums of Binomial Coefficients Arising From Collection Formulas
Vladimir M. Leontiev · Journal of Siberian Federal University Mathematics & Physics · 2018
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.