On the $k$-free divisor problem

Details On the $k$-free divisor problem On the $k$-free divisor problem

2008-05-17

arxiv.org/abs/0805.2639v1

Acta Arith.{\bf 123}(2006), 267-287

Mathematics

Number Theory

Scientific paper

Let $\Delta^{(k)}(x)$ denote the error term of the $k$-free divisor problem
for $k\geq 2$. In this paper we establish an asymptotic formula of the integral
$\int_1^T|\Delta^{(k)}(x)|^2dx$ for each $k\geq 4.$

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