On sums of the small divisors of a natural number

Douglas E. Iannucci

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arXiv · 1910.11835

On sums of the small divisors of a natural number

Douglas E. Iannucci

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Abstract

We consider the positive divisors of a natural number that do not exceed its square root, to which we refer as the {\it small divisors\/} of the natural number. We determine the asymptotic behavior of the arithmetic function that adds the small divisors of a natural number, and we consider its Dirichlet generating series.

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Douglas E. Iannucci. 2019-10-25. On sums of the small divisors of a natural number. https://arxiv.org/abs/1910.11835

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