English

Approximating the divisor functions

Number Theory 2023-07-03 v1

Abstract

We exploit the properties of a sequence of functions that approximate the divisor functions and combine them with an analytical formula of a delta-like sequence to give a new proof of a theorem of Gronwall on the asymptotic of the divisor functions.

Keywords

Cite

@article{arxiv.2306.17781,
  title  = {Approximating the divisor functions},
  author = {Andrew Echezabal and Laura De Carli and Maurizio Laporta},
  journal= {arXiv preprint arXiv:2306.17781},
  year   = {2023}
}
R2 v1 2026-06-28T11:19:09.222Z