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Products of Hecke eigenforms

✍ Scribed by Brad A. Emmons

Publisher: Elsevier Science
Year: 2005
Tongue: English
Weight: 158 KB
Volume: 115
Category: Article
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2005.02.006

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✦ Synopsis

Let f (z) and g(z) be Hecke eigenforms for 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.

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