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arXiv · 1806.07022

On some generalizations of the sum of powers of natural numbers

Svinin Andrei K
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Abstract

In this paper some generalizations of the sum of powers of natural numbers is considered. In particular, the class of sums whose generating function is the power of the generating function for the classical sums of powers is studying. The so-called binomial sums are also considered. The problem of constructing polynomials that allow to calculate the values of the corresponding sums in certain cases is solved.

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Svinin Andrei K. 2018-06-19. On some generalizations of the sum of powers of natural numbers. https://arxiv.org/abs/1806.07022

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