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

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

arxiv: 1108.1815 · v1 · pith:2ODAD566new · submitted 2011-08-08 · 🧮 math.NT

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

Yvonne Buttkewitz , Christian Elsholtz , Kevin Ford , Jan-Christoph Schlage-Puchta This is my paper

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keywords problemramanujanasymptoticallydeterminedivisordivisorserdosfirst

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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.

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

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