Jakimczuk, Rafael

On the distribution of perfect powers

J. Integer Seq. 14(8), Article 11.8.5, 9 p., electronic only (2011)

Summary

Summary: 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 $N(x)$.

Mathematics Subject Classification

11A99, 11B99

Keywords/Phrases

perfect powers, counting function, asymptotic formulae

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