Near-Optimal Mean Value Estimates for Multidimensional Weyl Sums

被引：0
|
作者：
Scott T. Parsell
Sean M. Prendiville
Trevor D. Wooley
机构：
[1] West Chester University,Department of Mathematics
[2] University of Bristol,School of Mathematics
来源：
Geometric and Functional Analysis | 2013年 / 23卷
关键词：
Exponential sums; Hardy–Littlewood method; Diophantine equations; 11L15; 11L07; 11D45; 11D72; 11P55;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We obtain sharp estimates for multidimensional generalisations of Vinogradov’s mean value theorem for arbitrary translation-dilation invariant systems, achieving constraints on the number of variables approaching those conjectured to be the best possible. Several applications of our bounds are discussed.
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页码：1962 / 2024
页数：62
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