Two modularity lifting conjectures for families of Siegel modular forms

被引：1

作者：

Panchishkin, A. A. ^{[1
]}

机构：

[1] Univ Grenoble 1, Inst Fourier, F-38041 Grenoble, France

来源：

MATHEMATICAL NOTES | 2010年 / 88卷 / 3-4期

关键词：

p-adic families; Siegel modular forms; Hecke operators; Siegel-Eisenstein series; Ikeda-Miyawaki lift; ELLIPTIC CUSP FORMS; DIRICHLET SERIES;

D O I：

10.1134/S0001434610090269

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a prime p and a positive integer n, using certain lifting procedures, we study some constructions of p-adic families of Siegel modular forms of genus n. Describing L-functions attached to Siegel modular forms and their analytic properties, we formulate two conjectures on the existence of the modularity liftings from GSp (r) x GSp(2m) to GSp (r+2m) for some positive integers r and m.

引用

页码：544 / 551

页数：8

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