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Classicality of overconvergent Hilbert eigenforms: Case of quadratic residue degree

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 نشر من قبل Yichao Tian
 تاريخ النشر 2011
  مجال البحث
والبحث باللغة English
 تأليف Yichao Tian




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Let $F$ be a quadratic real field, $p$ be a rational prime inert in $F$. In this paper, we prove that an overconvergent $p$-adic Hilbert eigenform for $F$ of small slope is actually a classical Hilbert modular form.

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