Generalized polynomial exponential sums and their fourth power mean

被引：0
|
作者：
Wang, Li [1 ]
Meng, Yuanyuan [1 ]
机构：
[1] Northwest Univ, Res Ctr Number Theory & Its Applicat, Xian, Peoples R China
来源：
ELECTRONIC RESEARCH ARCHIVE | 2023年 / 31卷 / 07期
基金：
中国国家自然科学基金;
关键词：
generalized polynomial exponential sums; fourth power mean; elementary method; exact; calculating formula;
D O I：
10.3934/era.2023220
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The study of the power mean of the generalized polynomial exponential sums plays a very important role in analytic number theory, and many classical number theory problems are closely related to it. In this article, we use the elementary methods and the properties of the exponential sums to study the calculating problem of one kind of fourth power mean of some special generalized polynomial exponential sums, and we give some exact calculating formulae for them.
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页码：4313 / 4323
页数：11
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