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

preprint2011arXivOpen access

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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