论两个共享集支持下的 L 函数和同调函数的唯一性

IF 0.6 4区数学 Q3 MATHEMATICS

Computational Methods and Function Theory Pub Date : 2024-01-23 DOI:10.1007/s40315-023-00513-4

Sanjay Mallick, Pratap Basak

{"title":"论两个共享集支持下的 L 函数和同调函数的唯一性","authors":"Sanjay Mallick, Pratap Basak","doi":"10.1007/s40315-023-00513-4","DOIUrl":null,"url":null,"abstract":"The paper presents general criteria for the uniqueness of a non-constant meromorphic function having finitely many poles and a non-constant L-function in the Selberg class when they share two sets. Our results provide the best cardinalities ever obtained in the literature improving all the existing results Li et al. (Lith. Math. J. 58(2), 249–262 (2018)), Kundu and Banerjee (Rend. Circ. Mat. Palermo (2) 70(3), 1227–1244 (2021), Banerjee and Kundu (Lith. Math. J. 61(2), 161–179 (2021) with regard to the most general setting. Further, we have exhibited a number of examples throughout the paper showing the far reaching applications of our results.\n","PeriodicalId":49088,"journal":{"name":"Computational Methods and Function Theory","volume":"10 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Uniqueness of L-Functions and Meromorphic Functions Under the Aegis of two Shared Sets\",\"authors\":\"Sanjay Mallick, Pratap Basak\",\"doi\":\"10.1007/s40315-023-00513-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper presents general criteria for the uniqueness of a non-constant meromorphic function having finitely many poles and a non-constant L-function in the Selberg class when they share two sets. Our results provide the best cardinalities ever obtained in the literature improving all the existing results Li et al. (Lith. Math. J. 58(2), 249–262 (2018)), Kundu and Banerjee (Rend. Circ. Mat. Palermo (2) 70(3), 1227–1244 (2021), Banerjee and Kundu (Lith. Math. J. 61(2), 161–179 (2021) with regard to the most general setting. Further, we have exhibited a number of examples throughout the paper showing the far reaching applications of our results.\\n\",\"PeriodicalId\":49088,\"journal\":{\"name\":\"Computational Methods and Function Theory\",\"volume\":\"10 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-01-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Computational Methods and Function Theory\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s40315-023-00513-4\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computational Methods and Function Theory","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s40315-023-00513-4","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

本文提出了当具有有限多个极点的非恒定分形函数和非恒定 L 函数共享两个集合时，它们在塞尔伯格类中的唯一性的一般判据。我们的结果提供了迄今为止文献中获得的最好的心数，改进了所有现有结果李等人（Lith.Math.J. 58(2), 249-262 (2018)）、Kundu 和 Banerjee（Rend.Circ.Mat.Palermo (2) 70(3), 1227-1244 (2021)）、Banerjee 和 Kundu（Lith.Math.61(2)，161-179 (2021)）的最一般设置。此外，我们在整篇论文中列举了大量实例，展示了我们的结果的深远应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

On the Uniqueness of L-Functions and Meromorphic Functions Under the Aegis of two Shared Sets

The paper presents general criteria for the uniqueness of a non-constant meromorphic function having finitely many poles and a non-constant L-function in the Selberg class when they share two sets. Our results provide the best cardinalities ever obtained in the literature improving all the existing results Li et al. (Lith. Math. J. 58(2), 249–262 (2018)), Kundu and Banerjee (Rend. Circ. Mat. Palermo (2) 70(3), 1227–1244 (2021), Banerjee and Kundu (Lith. Math. J. 61(2), 161–179 (2021) with regard to the most general setting. Further, we have exhibited a number of examples throughout the paper showing the far reaching applications of our results.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Computational Methods and Function Theory MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： CMFT is an international mathematics journal which publishes carefully selected original research papers in complex analysis (in a broad sense), and on applications or computational methods related to complex analysis. Survey articles of high standard and current interest can be considered for publication as well.