{"title":"黑川-水本同簇性与自动形式上的微分算子","authors":"Nobuki Takeda","doi":"10.1016/j.jnt.2024.07.007","DOIUrl":null,"url":null,"abstract":"<div><p>We give sufficient conditions for the vector-valued Kurokawa-Mizumoto congruence related to the Klingen-Eisenstein series to hold. We also give a reinterpretation for differential operators on automorphic forms by the representation theory.</p></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0022314X24001689/pdfft?md5=e293d3f84e4efad68424f0d31bf2f6e3&pid=1-s2.0-S0022314X24001689-main.pdf","citationCount":"0","resultStr":"{\"title\":\"Kurokawa-Mizumoto congruence and differential operators on automorphic forms\",\"authors\":\"Nobuki Takeda\",\"doi\":\"10.1016/j.jnt.2024.07.007\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We give sufficient conditions for the vector-valued Kurokawa-Mizumoto congruence related to the Klingen-Eisenstein series to hold. We also give a reinterpretation for differential operators on automorphic forms by the representation theory.</p></div>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-08-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S0022314X24001689/pdfft?md5=e293d3f84e4efad68424f0d31bf2f6e3&pid=1-s2.0-S0022314X24001689-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0022314X24001689\",\"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://www.sciencedirect.com/science/article/pii/S0022314X24001689","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Kurokawa-Mizumoto congruence and differential operators on automorphic forms
We give sufficient conditions for the vector-valued Kurokawa-Mizumoto congruence related to the Klingen-Eisenstein series to hold. We also give a reinterpretation for differential operators on automorphic forms by the representation theory.