On the distribution of square-full integers

被引：0

作者：

Wang, Dan ^{[1
]}

机构：

[1] Qilu Univ Technol, Shandong Acad Sci, Sch Math & Stat, Jinan 250353, Shandong, Peoples R China

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2022年 / 53卷 / 03期

关键词：

Squarefull integers; Exponential sums;

D O I：

10.1007/s13226-021-00154-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let S(x) be the number of square-full integers not exceeding x and let Delta(x) be the error term in the asymptotic formula for S( x). Under the Riemann hypothesis, we get that Delta(x) << x(328/2333), which improves the exponent 121/860 obtained by Liu [6].

引用

页码：627 / 634

页数：8

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