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

Let Δ(a, b; x) denote the error term of the asymmetric two-dimensional divisor problem. In this paper we shall study the relation between the discrete mean value ?_{n ￡ T} D²(a,b;n){sum_{nleq T} Delta^2(a,b;n)} and the continuous mean value ò₁^TD²(a,b;x)dx{int_1^TDelta^2(a,b;x)dx} .