A Problem of Ramanujan, Erdős, and Kátai on the Iterated Divisor Function

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

Type: Article

Publication Date: 2011-09-09

Citations: 2

DOI: https://doi.org/10.1093/imrn/rnr175

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.

Locations

International Mathematics Research Notices - View
arXiv (Cornell University) - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF

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Action	Title	Year	Authors
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Works Cited by This (3)

Action	Title	Year	Authors
+	Ramanujan and I	1989	Paul Erdös
+ PDF Chat	An introduction to the theory of numbers	1960	G. H. Hardy
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