{"title":"Shintani correspondence for Maass forms of level $N$ and prehomogeneous zeta functions","authors":"K. Sugiyama","doi":"10.3792/pjaa.98.008","DOIUrl":null,"url":null,"abstract":"A Shintani-Katok-Sarnak type correspondence for Maass cusp forms of level N is shown to be derived from analytic properties of prehomogeneous zeta functions whose coefficients involve periods of Maass forms.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":"53 1","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2021-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Japan Academy Series A-Mathematical Sciences","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3792/pjaa.98.008","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
A Shintani-Katok-Sarnak type correspondence for Maass cusp forms of level N is shown to be derived from analytic properties of prehomogeneous zeta functions whose coefficients involve periods of Maass forms.
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The aim of the Proceedings of the Japan Academy, Series A, is the rapid publication of original papers in mathematical sciences. The paper should be written in English or French (preferably in English), and at most 6 pages long when published. A paper that is a résumé or an announcement (i.e. one whose details are to be published elsewhere) can also be submitted.
The paper is published promptly if once communicated by a Member of the Academy at its General Meeting, which is held monthly except in July and in August.
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