Journal of Integer Sequences, Vol. 14 (2011), Article 11.8.5

On the Distribution of Perfect Powers


Rafael Jakimczuk
División Matemática
Universidad Nacional de Luján
Buenos Aires
Argentina

Abstract:

Let N(x) be the number of perfect powers that do not exceed x. In this article we obtain asymptotic formulae for the counting function N(x).

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(Concerned with sequence A001597.)

Received May 28 2011; revised version received August 16 2011. Published in Journal of Integer Sequences, September 25 2011.

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