On sums of the small divisors of a natural number

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.

12 pages. One figure

Cited by in corpus (1)

• When the Large Divisors of a Natural Number Are in Arithmetic Progression