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

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

2009-09-15

arxiv.org/abs/0909.2811v2

Mathematics

Number Theory

Scientific paper

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.

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