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.
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页码：1 / 20
页数：20
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