New recurrences for divisor sum functions and triangular numbers
Number Theory
2022-07-14 v1
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.
Keywords
Cite
@article{arxiv.2207.05831,
title = {New recurrences for divisor sum functions and triangular numbers},
author = {Masato Kobayashi},
journal= {arXiv preprint arXiv:2207.05831},
year = {2022}
}
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6 pages