{"title":"层$N$和预齐次zeta函数的质量形式的Shintani对应","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":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"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\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2021-10-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.3792/pjaa.98.008\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3792/pjaa.98.008","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Shintani correspondence for Maass forms of level $N$ and prehomogeneous zeta functions
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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