Products of Hecke eigenforms

JOURNAL OF NUMBER THEORY

卷:115

Article

Emmons, BA

关键词: modular form;    Hecke eigenform;    Eisenstein series;    Fricke involution;   

DOI  :  10.1016/j.jnt.2005.02.006

来源: Elsevier

【 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.

【 授权许可】

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