{"title":"关于黎曼 Z 函数的零点计数","authors":"Giovanni Lodone","doi":"arxiv-2407.07910","DOIUrl":null,"url":null,"abstract":"An approximate formula for complex Riemann Xi function, previously developed,\nis used to refine Backlund's estimate of the number of zeros till a chosen\nimaginary coordinate","PeriodicalId":501502,"journal":{"name":"arXiv - MATH - General Mathematics","volume":"32 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"About zero counting of Riemann Z function\",\"authors\":\"Giovanni Lodone\",\"doi\":\"arxiv-2407.07910\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An approximate formula for complex Riemann Xi function, previously developed,\\nis used to refine Backlund's estimate of the number of zeros till a chosen\\nimaginary coordinate\",\"PeriodicalId\":501502,\"journal\":{\"name\":\"arXiv - MATH - General Mathematics\",\"volume\":\"32 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - General Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2407.07910\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - General Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.07910","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An approximate formula for complex Riemann Xi function, previously developed,
is used to refine Backlund's estimate of the number of zeros till a chosen
imaginary coordinate