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.

引用

页码：65 / 82

页数：18

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