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

被引：4

作者：

Cao, Xxiaodong ^{[2
]}

Zhai, Wenguang ^{[1
]}

机构：

[1] Shandong Normal Univ, Sch Math Sci, Jinan 250014, Shandong, Peoples R China

[2] Beijing Inst Petrochem Technol, Dept Math & Phys, Beijing 102617, Peoples R China

来源：

MONATSHEFTE FUR MATHEMATIK | 2010年 / 160卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Two-dimensional divisor problems; Error term; Mean square; Asymptotic formula; HIGHER-POWER MOMENTS; EXPONENTIAL-SUMS; REMAINDER TERM; DELTA(X);

D O I：

10.1007/s00605-009-0098-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Delta (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 Sigma(n <= T) Delta(2)(a, b; n) and the continuous mean value integral(T)(1) Delta(2)(a, b; x)dx.

引用

页码：115 / 142

页数：28

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