On the Dirichlet divisor problem in short intervals

被引：8

作者：

Ivic, Aleksandar ^{[1
]}

Zhai, Wenguang ^{[2
]}

机构：

[1] Univ Beogradu, Katedra Matemat RGF, Belgrade 11000, Serbia

[2] China Univ Min & Technol, Dept Math, Beijing 100083, Peoples R China

来源：

RAMANUJAN JOURNAL | 2014年 / 33卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Dirichlet divisor problem; Short intervals; Sign changes; HIGHER-POWER MOMENTS; ERROR TERM; EXPONENTIAL-SUMS; LARGE VALUES; SIGN CHANGES; MEAN-SQUARE; DELTA(X); E(T);

D O I：

10.1007/s11139-013-9470-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present several new results involving Delta(x + U) - Delta(x), where U = o(x) and Delta(x) := Sigma(n <= x) d(n) - x log x - (2 gamma - 1)x is the error term in the classical Dirichlet divisor problem.

引用

页码：447 / 465

页数：19

共 22 条

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