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تحويل نماذج هيلبرت-سايغل الجنس 2 في $Q(sqrt{5})$ عبر التطابق جاكيه-لانجلاندس

Computing genus 2 Hilbert-Siegel modular forms over $Q(sqrt{5})$ via the Jacquet-Langlands correspondence

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 نشر من قبل Clifton Cunningham
 تاريخ النشر 2007
  مجال البحث
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In this paper we present an algorithm for computing Hecke eigensystems of Hilbert-Siegel cusp forms over real quadratic fields of narrow class number one. We give some illustrative examples using the quadratic field $Q(sqrt{5})$. In those examples, we identify Hilbert-Siegel eigenforms that are possible lifts from Hilbert eigenforms.



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