Visible lattice points and the Extended Lindelof Hypothesis

被引：3

作者：

Takeda, Wataru ^{[1
]}

机构：

[1] Kyoto Univ, Dept Math, Sakyo Ku, Kitashirakawa Oiwake Cho, Kyoto 6068502, Japan

来源：

JOURNAL OF NUMBER THEORY | 2017年 / 180卷

关键词：

Dedekind zeta function; Extended Lindeloff Hypothesis; Gauss Circle Problem; Asymptotic behavior;

D O I：

10.1016/j.jnt.2017.04.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the number of visible lattice points under the assumption of the Extended Lindelof Hypothesis. We get a relation between visible lattice points and the Extended Lindelof Hypothesis. And we also get a relation between visible lattice points over Q(root-1) and the Gauss Circle Problem. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：297 / 309

页数：13

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