Oscillatory integrals with uniformity in parameters

被引：0

作者：

Kiral, Eren Mehmet ^{[1
]}

Petrow, Ian ^{[2
]}

Young, Matthew P. ^{[1
]}

机构：

[1] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

[2] Swiss Fed Inst Technol, Dept Math, HG G 66-4,Ramistr 101, CH-8092 Zurich, Switzerland

来源：

JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX | 2019年 / 31卷 / 01期

基金：

瑞士国家科学基金会; 美国国家科学基金会;

关键词：

Oscillatory integrals; Stationary phase; CUBIC MOMENT;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a sharp asymptotic formula for certain oscillatory integrals that may be approached using the stationary phase method. The estimates are uniform in terms of auxiliary parameters, which is crucial for application in analytic number theory.

引用

页码：145 / 159

页数：15

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