Computing Hilbert-Siegel modular forms over Q(5√) via the Jacquet-Langlands correspondence
Clifton Cunningham and Lassina Dembélé
Number | 13 |
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Author | Lassina Dembélé |
Project | A09 |
Year | 2008 |
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(5√). In those examples, we identify Hilbert-Siegel eigenforms that are possible lifts from Hilbert eigenforms.