{"title":"关于 Dedekind Zeta 函数零点的说明","authors":"János Pintz","doi":"10.1556/314.2024.00009","DOIUrl":null,"url":null,"abstract":"We prove zero density theorems for Dedekind zeta functions in the vicinity of the line Re s = 1, improving an earlier result of W. Staś.","PeriodicalId":486701,"journal":{"name":"Mathematica Pannonica","volume":"9 19","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Note on the Zeros of the Dedekind Zeta Functions\",\"authors\":\"János Pintz\",\"doi\":\"10.1556/314.2024.00009\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We prove zero density theorems for Dedekind zeta functions in the vicinity of the line Re s = 1, improving an earlier result of W. Staś.\",\"PeriodicalId\":486701,\"journal\":{\"name\":\"Mathematica Pannonica\",\"volume\":\"9 19\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematica Pannonica\",\"FirstCategoryId\":\"0\",\"ListUrlMain\":\"https://doi.org/10.1556/314.2024.00009\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematica Pannonica","FirstCategoryId":"0","ListUrlMain":"https://doi.org/10.1556/314.2024.00009","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
我们证明了 Re s = 1 直线附近的 Dedekind zeta 函数的零密度定理，改进了 W. Staś早先的一个结果。
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