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Several explicit formulae of sums and hyper-sums of powers of integers

Published 19 Dec 2017 in math.NT | (1712.07208v1)

Abstract: In this paper, we present several explicit formulas of the sums and hyper-sums of the powers of the first (n+1)-terms of a general arithmetic sequence in terms of Stirling numbers and generalized Bernoulli polynomials.

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