Lattice points in stretched finite type domains

被引：0

作者：

Guo, Jingwei ^{[1
]}

Jiang, Tao ^{[2
]}

机构：

[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China

[2] Anhui Normal Univ, Sch Math & Stat, Wuhu 241002, Peoples R China

来源：

JOURNAL OF NUMBER THEORY | 2023年 / 242卷

关键词：

Lattice points; Finite type domains; Optimal stretching; CONVEX HYPERSURFACES; RIESZ MEANS; EIGENVALUES; LAPLACIAN; CUBOIDS;

D O I：

10.1016/j.jnt.2022.07.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study an optimal stretching problem, which is a variant lattice point problem, for convex domains in Rd (d >= 2) with smooth boundary of finite type that are symmetric with respect to each coordinate hyperplane/axis. We prove that optimal domains which contain the most positive (or least nonnegative) lattice points are asymptotically balanced. (c) 2022 Elsevier Inc. All rights reserved.

引用

页码：1 / 20

页数：20

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