{"title":"具有小根模的bombieri - vinogradov型定理","authors":"Stephan Baier, Sudhir Pujahari","doi":"10.4064/aa221211-1-9","DOIUrl":null,"url":null,"abstract":"In this article, we extend our recent work on a Bombieri–Vinogradov-type theorem for sparse sets of prime powers $p^N\\leqslant x^{1/4-\\varepsilon }$ with $p\\leqslant (\\log x)^C$ to sparse sets of moduli $s\\leqslant x^{1/3-\\varepsilon }$ with radical rad$(","PeriodicalId":37888,"journal":{"name":"Acta Arithmetica","volume":"33 1","pages":"0"},"PeriodicalIF":0.5000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Bombieri–Vinogradov-type theorem for moduli with small radical\",\"authors\":\"Stephan Baier, Sudhir Pujahari\",\"doi\":\"10.4064/aa221211-1-9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, we extend our recent work on a Bombieri–Vinogradov-type theorem for sparse sets of prime powers $p^N\\\\leqslant x^{1/4-\\\\varepsilon }$ with $p\\\\leqslant (\\\\log x)^C$ to sparse sets of moduli $s\\\\leqslant x^{1/3-\\\\varepsilon }$ with radical rad$(\",\"PeriodicalId\":37888,\"journal\":{\"name\":\"Acta Arithmetica\",\"volume\":\"33 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Arithmetica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4064/aa221211-1-9\",\"RegionNum\":3,\"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":"Acta Arithmetica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4064/aa221211-1-9","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
A Bombieri–Vinogradov-type theorem for moduli with small radical
In this article, we extend our recent work on a Bombieri–Vinogradov-type theorem for sparse sets of prime powers $p^N\leqslant x^{1/4-\varepsilon }$ with $p\leqslant (\log x)^C$ to sparse sets of moduli $s\leqslant x^{1/3-\varepsilon }$ with radical rad$(
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