A remark on an explicit formula for the sums of powers of integers

2025/03/05 by Cereceda, José L.
#FOS: Mathematics #General Mathematics (math.GM)

paper · doi:10.48550/arxiv.2503.14508

Abstract

Recently, E. Samsonadze (arXiv:2411.11859v1) has given an explicit formula for the sums of powers of integers S_k(n) = 1^k +2^k +⋯ + n^k. In this short note, we show that Samsonadze's formula corresponds to a well-known formula for S_k(n) involving the Stirling numbers of the second kind.

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