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Title: | Pullbacks of Klingen-Eisenstein Series Attached to Jacobi Cusp Forms |
Authors: | Shin-Ichiro Mizumoto |
Issue Date: | 2014 |
Publisher: | Journal of the Ramanujan Mathematical Society |
Abstract: | Let F be a Siegel cusp form of degree n :::_ 2 and ¢ be a Jacobi cusp form of degree r ( < 11) and index T, where T is a kernel form of size n - r. Suppose F and¢ are eigenfunctions of the Hecke operators. Let [¢ ]~ ((Z, w ), s) be the Klingen-Eisenstein series of degree II attached to¢. We show that the Petersson inner product ([¢]~((Z, 0), s), F(Z)) is essentially equal to the quotient of the standard L-function of F and that of¢. Our result is a generalization of the result of Heim [9] which treated the case 11 = 2, r = l . |
URI: | http://gnanaganga.inflibnet.ac.in:8080/jspui/handle/123456789/6873 |
Appears in Collections: | Articles to be qced |
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