On the mean square of the error term for the asymmetric two-dimensional divisor problems(II) |
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Authors: | Xxiaodong Cao Wenguang Zhai |
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Affiliation: | 1. Department of Mathematics and Physics, Beijing Institute of Petro-Chemical Technology, 102617, Beijing, People’s Republic of China 2. School of Mathematical Sciences, Shandong Normal University, 250014, Jinan, Shandong, People’s Republic of China
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Abstract: | 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 ${sum_{nleq T} Delta^2(a,b;n)}$ and the continuous mean value ${int_1^TDelta^2(a,b;x)dx}$ . |
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