首页   按字顺浏览 期刊浏览 卷期浏览 Application to Dirichlet Series of Maximal Large Sieve Inequality
Application to Dirichlet Series of Maximal Large Sieve Inequality

 

作者: Ruilin Long,   Zhengquan Liu,  

 

期刊: Bulletin of the London Mathematical Society  （WILEY Available online 2016）
卷期: Volume 25, issue 2  

页码: 105-113

 

ISSN:0024-6093

 

年代: 2016

 

DOI:10.1112/blms/25.2.105

 

出版商: Oxford University Press

 

数据来源: WILEY

 

摘要:

In this note, the maximal Large Sieve inequality has been used to obtain following estimate:(')∫‐TTsup|D(S)|2dμ(t)⩽Cσ⩾0supτ∫U+τdμ(t)|U|‐1∑1N(T+n)|an|2whereD(s)=∑1Nann‐s,s=σ+it, is a Dirichlet series,dμ is a nonnegative Borel measure on R andU= [−Clog−1N] (sayT⩾1). In addition, the higher‐dimensional version of (*) has been obtained.

 

点击下载:  PDF (343KB)



返 回