{"title":"关于Rankin-Selberg问题,2","authors":"Bingrong Huang","doi":"10.1093/qmath/haad037","DOIUrl":null,"url":null,"abstract":"Abstract In this paper, we improve our bounds on the Rankin–Selberg problem. That is, we obtain a smaller error term of the second moment of Fourier coefficients of a GL(2) cusp form (both holomorphic and Maass).","PeriodicalId":54522,"journal":{"name":"Quarterly Journal of Mathematics","volume":"34 1","pages":"0"},"PeriodicalIF":0.6000,"publicationDate":"2023-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Rankin–Selberg problem, II\",\"authors\":\"Bingrong Huang\",\"doi\":\"10.1093/qmath/haad037\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In this paper, we improve our bounds on the Rankin–Selberg problem. That is, we obtain a smaller error term of the second moment of Fourier coefficients of a GL(2) cusp form (both holomorphic and Maass).\",\"PeriodicalId\":54522,\"journal\":{\"name\":\"Quarterly Journal of Mathematics\",\"volume\":\"34 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2023-09-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Quarterly Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1093/qmath/haad037\",\"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":"Quarterly Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1093/qmath/haad037","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
Abstract In this paper, we improve our bounds on the Rankin–Selberg problem. That is, we obtain a smaller error term of the second moment of Fourier coefficients of a GL(2) cusp form (both holomorphic and Maass).
期刊介绍:
The Quarterly Journal of Mathematics publishes original contributions to pure mathematics. All major areas of pure mathematics are represented on the editorial board.