On the Number of Lattice Points in the Shifted Circles

被引：0

作者：

Jabbarov, Ilgar Sh ^{[1
]}

Aslanova, Natiga Sh ^{[1
]}

Jeferli, Esmira, V ^{[1
]}

机构：

[1] Ganja State Univ, Az2000, Ganja, Azerbaijan

来源：

AZERBAIJAN JOURNAL OF MATHEMATICS | 2020年 / 10卷 / 02期

关键词：

circle problem; lattice points; shifted circle; deviation;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work we study the question: for a given r, is there any point (x; y) on the plane such that the deviation of the number of lattice points, contained inside the circle of radius r centered at this point, from the area of the disc has order O(r(1/2+epsilon)) for arbitrary positive number epsilon? We show that the answer for this question is positive.

引用

页码：175 / 190

页数：16

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