English

The average number of divisors of the Euler function

Number Theory 2017-02-23 v2

Abstract

The upper bound and the lower bound of average numbers of divisors of Euler Phi function and Carmichael Lambda function are obtained by Luca and Pomerance (see \cite{LP}). We improve the lower bound and provide a heuristic argument which suggests that the upper bound given by \cite{LP} is indeed close to the truth.

Keywords

Cite

@article{arxiv.1605.04933,
  title  = {The average number of divisors of the Euler function},
  author = {Sungjin Kim},
  journal= {arXiv preprint arXiv:1605.04933},
  year   = {2017}
}

Comments

20 pages, submitted

R2 v1 2026-06-22T14:02:04.620Z