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- W4298367617 abstract "We provide upper bounds for the mean square integral $$ int_X^{2X}(Delta_k(x+h) - Delta_k(x))^2 dx qquad(h = h(X)gg1, h = o(x) {roman{as}} Xtoinfty) $$ where $h$ lies in a suitable range. For $kge2$ a fixed integer, $Delta_k(x)$ is the error term in the asymptotic formula for the summatory function of the divisor function $d_k(n)$, generated by $zeta^k(s)$." @default.
- W4298367617 created "2022-10-02" @default.
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- W4298367617 date "2007-08-12" @default.
- W4298367617 modified "2023-10-18" @default.
- W4298367617 title "On the mean square of the divisor function in short intervals" @default.
- W4298367617 doi "https://doi.org/10.48550/arxiv.0708.1601" @default.
- W4298367617 hasPublicationYear "2007" @default.
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