Divisor function, inequalities and arithmetic progressions

被引：0

作者：

Cimadevilla Villacorta, Jorge Luis ^{[1
]}

机构：

[1] Alava 15,1D, Gijon 33210, Asturias, Spain

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2018年 / 14卷 / 08期

关键词：

Divisor function; divisor problem in arithmetic progressions; EXPONENTIAL-SUMS; LATTICE POINTS;

D O I：

10.1142/S1793042118501348

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove some inequalities about the partial sums Sigma(n)(i=0) (-1)(i)d(2i + 1) and Sigma(n)(n=0) (-1)(i)d(4i + 1), where d(n) is the divisor function.

引用

页码：2225 / 2238

页数：14

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