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arXiv · 0805.1270

On higher-power moments of $Δ(x)$(II)

Wenguang Zhai
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Abstract

Let $Δ(x)$ be the error term of the Dirichlet divisor problem. The asymptotic formula of the integral $\int_1^TΔ^k(x)dx$ is established for any integer $3\leq k\leq 9$ by an unified method. Similar results are also established for some other well-known error terms in the analytic number theory.

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Wenguang Zhai. 2008-05-09. On higher-power moments of $Δ(x)$(II). https://doi.org/10.4064/aa114-1-3

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