{"title":"A result on quotient of meromorphic functions and its application to L-functions","authors":"Bao Qin Li","doi":"10.1016/j.jmaa.2025.129348","DOIUrl":null,"url":null,"abstract":"<div><div>We give an estimate on counting functions of zeros and poles for a class of meromorphic functions, which is shown to be best possible by examples, and then apply it to estimate the symmetric difference of nontrivial zeros and <em>a</em>-points of L-functions in number theory.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"547 2","pages":"Article 129348"},"PeriodicalIF":1.2000,"publicationDate":"2025-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Analysis and Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022247X25001295","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We give an estimate on counting functions of zeros and poles for a class of meromorphic functions, which is shown to be best possible by examples, and then apply it to estimate the symmetric difference of nontrivial zeros and a-points of L-functions in number theory.
期刊介绍:
The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions.
Papers are sought which employ one or more of the following areas of classical analysis:
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