{"title":"Primes in Tuples of Linear Forms in Number Fields and Function Fields","authors":"Habibur Rahaman","doi":"arxiv-2409.04705","DOIUrl":null,"url":null,"abstract":"Following the work of Castillo-Hall-Oliver-Pollack-Thompson who extended\nMaynard-Tao theorem on admissible tuples to number fields and function fields\nfor tuples with monic linear forms, here we obtain the Maynard-Tao theorem for\nadmissible tuples of linear forms with arbitrary leading coefficients in number\nfields and function fields. Also, we provide some applications of our results.","PeriodicalId":501064,"journal":{"name":"arXiv - MATH - Number Theory","volume":"26 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Number Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.04705","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Following the work of Castillo-Hall-Oliver-Pollack-Thompson who extended
Maynard-Tao theorem on admissible tuples to number fields and function fields
for tuples with monic linear forms, here we obtain the Maynard-Tao theorem for
admissible tuples of linear forms with arbitrary leading coefficients in number
fields and function fields. Also, we provide some applications of our results.
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