English

A problem of Ramanujan, Erdos and Katai on the iterated divisor function

Number Theory 2014-03-24 v1

Abstract

We determine asymptotically the maximal order of log d(d(n)), where d(n) is the number of positive divisors of n. This solves a problem first put forth by Ramanujan in 1915.

Cite

@article{arxiv.1108.1815,
  title  = {A problem of Ramanujan, Erdos and Katai on the iterated divisor function},
  author = {Yvonne Buttkewitz and Christian Elsholtz and Kevin Ford and Jan-Christoph Schlage-Puchta},
  journal= {arXiv preprint arXiv:1108.1815},
  year   = {2014}
}

Comments

8 pages

R2 v1 2026-06-21T18:48:02.162Z