English

The Asymptotic Behavior of Compositions of the Euler and Carmichael Functions

Number Theory 2012-06-04 v1

Abstract

We compare the asymptotic behavior of Carmichael's lambda function composed with Euler's totient function to the asymptotic behavior of Carmichael's lambda function composed with itself. We establish the normal order of the logarithm of the ratio.

Keywords

Cite

@article{arxiv.1206.0286,
  title  = {The Asymptotic Behavior of Compositions of the Euler and Carmichael Functions},
  author = {Vishaal Kapoor},
  journal= {arXiv preprint arXiv:1206.0286},
  year   = {2012}
}

Comments

18 pages, 2 figures