Главная

On the number of pairs of positive integers x1, x2 <= H such that x1 x2 is a k-th power.

Ср, 09/16/2009 - 13:15 — SomNambul
Authors: Doychin Tolev
Subjects: Number Theory
link: http://arxiv.org/abs/0909.2811
Abstract

We find an asymptotic formula for the number of pairs of positive integers
$x_1, x_2 \le H$ such that the product $x_1 x_2$ is a $k$-th power.