arXiv Analytics

Sign in

arXiv:1910.11835 [math.NT]AbstractReferencesReviewsResources

On sums of the small divisors of a natural number

Douglas E. Iannucci

Published 2019-10-25Version 1

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.

Comments: 12 pages. One figure
Categories: math.NT
Subjects: 11A25
Related articles: Most relevant | Search more
arXiv:2208.02242 [math.NT] (Published 2022-08-03)
Patterns in the iteration of an arithmetic function
arXiv:1206.0286 [math.NT] (Published 2012-06-01)
The Asymptotic Behavior of Compositions of the Euler and Carmichael Functions
arXiv:1009.1892 [math.NT] (Published 2010-09-09)
The Convolution Ring of Arithmetic Functions and Symmetric Polynomials

Links

Toolbox