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Eigenform Product Identities For Hilbert Modular Forms

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 نشر من قبل Yichao Zhang
 تاريخ النشر 2015
  مجال البحث
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We prove that amongst all real quadratic fields and all spaces of Hilbert modular forms of full level and of weight $2$ or greater, the product of two Hecke eigenforms is not a Hecke eigenform except for finitely many real quadratic fields and finitely many weights. We show that for $mathbb Q(sqrt 5)$ there are exactly two such identities.



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