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

Published 8 Aug 2011 in math.NT | (1108.1815v1)

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.

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