On the mean square of the error term for the two-dimensional divisor problems(II)

Abstract

Let $\Delta (a,b;x)$ denote the error term of the general two-dimensional divisor problem. In this paper we shall study the relation between the discrete mean value ${\sum }_{n\le T}{\Delta }^2(a,b;n)$ and the continuous mean value ${\int }_1^T{\Delta }^2(a,b;x)dx$.

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