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arXiv · 1809.03365

Integer ratios of consecutive alternating power sums

Ioulia N. Baoulina
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Abstract

We give a characterization of all pairs $(k,n)$ of positive integers for which the ratio $$ \frac{1^k-2^k+3^k-\dots+(-1)^{n+1} n^k}{1^k-2^k+3^k-\dots+(-1)^{n}(n-1)^k} $$ of two consecutive alternating power sums is an integer.

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Ioulia N. Baoulina. 2018-09-10. Integer ratios of consecutive alternating power sums. https://doi.org/10.1080/00029890.2019.1606577

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