Geodesic
On the distribution of perfect powers
Journal of integer sequences, Tome 14 (2011) no. 8
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 $N(x)$.
Classification : 11A99, 11B99
Keywords: perfect powers, counting function, asymptotic formulae 
@article{JIS_2011__14_8_a3,
     author = {Jakimczuk,  Rafael},
     title = {On the distribution of perfect powers},
     journal = {Journal of integer sequences},
     year = {2011},
     volume = {14},
     number = {8},
     zbl = {1254.11086},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2011__14_8_a3/}
}
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Jakimczuk,  Rafael. On the distribution of perfect powers. Journal of integer sequences, Tome 14 (2011) no. 8. http://geodesic.mathdoc.fr/item/JIS_2011__14_8_a3/