AVERAGES OF POINT CONFIGURATION PROBLEMS OVER FINITE p-ADIC RINGS

被引：1

作者：

Lichtin, Ben

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2021年 / 149卷 / 07期

关键词：

k-Point configurations; Fourier transform; exponential sum estimates; p-adic numbers; VECTOR-SPACES; DISTANCE; SUBSETS;

D O I：

10.1090/proc/15449

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies averages of finite point configuration problems for subsets E subset of (Z/p(r))(n) (r >= 1,n >= 2) and extends work of Bennett-Hart-Iosevich-Pakianathan-Rudnev over finite fields to finite p-adic rings. As a result, we show that averages, taken over the group of orthogonal transformations, of finite point configurations with endpoints in E are positive if the density of E is sufficiently large.

引用

页码：2825 / 2839

页数：15

共 10 条

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