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

dc.creatorZhai, Wenguang
dc.date2008-05-11
dc.date.accessioned2026-07-07T09:38:15Z
dc.date.available2026-07-07T09:38:15Z
dc.descriptionLet $Δ(x)$ be the error term of the Dirichlet divisor problem. An asymptotic formula with the error term $O(T^{53/28+ε})$ is established for the integral $\int_1^TΔ^4(x)dx.$ Similar results are also established for some other well-known error terms in the analytic number theory .
dc.description21 Pages
dc.identifierhttps://arxiv.org/abs/0805.1523
dc.identifierhttp://arxiv.org/abs/0805.1523
dc.identifierActa Arith. 118 (2005), 263--281
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160741
dc.subjectNumber Theory
dc.subject11N37, 11M06
dc.titleOn higher-power moments of $Δ(x)$(III)
dc.typetext

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