Products of Hecke eigenforms

被引：6

作者：

Emmons, BA ^{[1
]}

机构：

[1] Utica Coll, Dept Math, Utica, NY 13502 USA

来源：

JOURNAL OF NUMBER THEORY | 2005年 / 115卷 / 02期

关键词：

modular form; Hecke eigenform; Eisenstein series; Fricke involution;

D O I：

10.1016/j.jnt.2005.02.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let f(z) and g (z) be Hecke eigenforms for Gamma(0) (p), where p is a prime. If both f (z) and g (z) are non-cuspidal forms and p >= 7, then the product is a Hecke eigenform only if it comes trivially from a level 1 solution. If g(z) is a cuspform and p >= 5, then in addition to the level 1 solutions, there are 8 new cases where the product of Hecke eigenforms is a Hecke eigenform. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：381 / 393

页数：13