{"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":"<p>The paper presents general criteria for the uniqueness of a non-constant meromorphic function having finitely many poles and a non-constant <i>L</i>-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. <b>58</b>(2), 249–262 (2018)), Kundu and Banerjee (Rend. Circ. Mat. Palermo (2) <b>70</b>(3), 1227–1244 (2021), Banerjee and Kundu (Lith. Math. J. <b>61</b>(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</p>","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\":\"<p>The paper presents general criteria for the uniqueness of a non-constant meromorphic function having finitely many poles and a non-constant <i>L</i>-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. <b>58</b>(2), 249–262 (2018)), Kundu and Banerjee (Rend. Circ. Mat. Palermo (2) <b>70</b>(3), 1227–1244 (2021), Banerjee and Kundu (Lith. Math. J. <b>61</b>(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</p>\",\"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}
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.
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.
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