A problem of Ramanujan, Erds, and Kátai on the iterated divisor function

Yvonne Buttkewitz, Christian Elsholtz, Kevin Ford, Jan Christoph Schlage-Puchta

Research output: Contribution to journalArticlepeer-review

Abstract

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

Original languageEnglish (US)
Pages (from-to)4051-4061
Number of pages11
JournalInternational Mathematics Research Notices
Volume2012
Issue number17
DOIs
StatePublished - Sep 2012

ASJC Scopus subject areas

  • General Mathematics

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