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arXiv · 2207.05831

New recurrences for divisor sum functions and triangular numbers

Masato Kobayashi
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Abstract

Euler discovered recurrence for divisor sum functions as a consequence of the pentagonal numbers theorem. With similar idea and also motivated by Ewell's work in 1977, we prove new recurrences for certain divisor sum functions and triangular numbers.

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Masato Kobayashi. 2022-07-12. New recurrences for divisor sum functions and triangular numbers. https://arxiv.org/abs/2207.05831

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