English

Exponential and infinitary divisors

Number Theory 2014-06-24 v2

Abstract

Our paper is devoted to several problems from the field of modified divisors: namely exponential and infinitary divisors. We study the behaviour of modified divisors, sum-of-divisors and totient functions. Main results concern with the asymptotic behaviour of mean values and explicit estimates of extremal orders.

Keywords

Cite

@article{arxiv.1405.7597,
  title  = {Exponential and infinitary divisors},
  author = {Andrew V. Lelechenko},
  journal= {arXiv preprint arXiv:1405.7597},
  year   = {2014}
}

Comments

11 pages

R2 v1 2026-06-22T04:26:11.909Z