{"title":"实解析Jacobi Eisenstein级数的泛函方程","authors":"Shin-ichiro Mizumoto","doi":"10.1007/s12188-019-00200-z","DOIUrl":null,"url":null,"abstract":"<div><p>We prove the existence of meromorphic continuation and the functional equation of the real analytic Jacobi Eisenstein series of degree <i>m</i> and matrix index <i>T</i> in case <i>T</i> is a kernel form.</p></div>","PeriodicalId":50932,"journal":{"name":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","volume":"89 1","pages":"55 - 75"},"PeriodicalIF":0.4000,"publicationDate":"2019-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s12188-019-00200-z","citationCount":"1","resultStr":"{\"title\":\"Functional equations of real analytic Jacobi Eisenstein series\",\"authors\":\"Shin-ichiro Mizumoto\",\"doi\":\"10.1007/s12188-019-00200-z\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We prove the existence of meromorphic continuation and the functional equation of the real analytic Jacobi Eisenstein series of degree <i>m</i> and matrix index <i>T</i> in case <i>T</i> is a kernel form.</p></div>\",\"PeriodicalId\":50932,\"journal\":{\"name\":\"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg\",\"volume\":\"89 1\",\"pages\":\"55 - 75\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2019-01-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1007/s12188-019-00200-z\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s12188-019-00200-z\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s12188-019-00200-z","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Functional equations of real analytic Jacobi Eisenstein series
We prove the existence of meromorphic continuation and the functional equation of the real analytic Jacobi Eisenstein series of degree m and matrix index T in case T is a kernel form.
期刊介绍:
The first issue of the "Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg" was published in the year 1921. This international mathematical journal has since then provided a forum for significant research contributions. The journal covers all central areas of pure mathematics, such as algebra, complex analysis and geometry, differential geometry and global analysis, graph theory and discrete mathematics, Lie theory, number theory, and algebraic topology.