A NOTE ON LATTICE POINTS AND OPTIMAL STRETCHING

被引：2
|
作者：
Guo, Jingwei [1 ]
Jiang, Tao [1 ]
机构：
[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China
来源：
COLLOQUIUM MATHEMATICUM | 2019年 / 157卷 / 01期
关键词：
lattice points; convex domains; finite type; optimal stretching; FINITE-TYPE; CONVEX HYPERSURFACES; MODEL DOMAINS; DISCREPANCY;
D O I：
10.4064/cm7615-5-2018
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the classical lattice point problem and its variant, an optimal stretching problem, associated with a special class of high-dimensional finite type domains. Our proofs rely on an explicit bound of the Fourier transform of indicator functions of domains under consideration.
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页码：65 / 82
页数：18
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