MMN-2030
On the hyper-sums of powers of integers
Diffalah Laissaoui; Fouad Bounebirat; Mourad Rahmani;Abstract
The main object of this paper is to study an old problem concerning the hyper-sums of powers of integers. First, we establish some important properties of this problem (generating function, explicit formula, congruence). Finally, an explicit formula for the hyper-sums of powers of integers involving the generalized Bernoulli polynomials are also given.
Vol. 18 (2017), No. 1, pp. 307-314