A Probabilistic Look At 1$^{k} + 2^{k} + · · · + n^{k}$

[摘要] In this note, we aim to provide a probabilistic method to obtainclosed-form formulae for sums of powers of the first npositive integers.

[学科分类] 社会科学、人文和艺术（综合）

[关键词] Sum of powers;probabilistic proof;positive integers.