On higher-power moments of $Δ(x)$(III)
Abstract
Description
Let $Δ(x)$ 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 .
21 Pages
21 Pages