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arXiv:0805.2639 [math.NT]AbstractReferencesReviewsResources

On the $k$-free divisor problem

Jun Furuya, Wenguang Zhai

Published 2008-05-17Version 1

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 $k\geq 4.$

Journal: Acta Arith.{\bf 123}(2006), 267-287
Categories: math.NT
Subjects: 11N37
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