On higher-power moments of $Δ(x)$ (II)

preprint2008arXivOpen access

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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On higher-power moments of $Δ(x)$ (II)

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On higher-power moments of $Δ(x)$ (II)