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Computing genus-2 Hilbert–Siegel modular forms over via the Jacquet–Langlands correspondence

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Cunningham, Clifton and Dembélé, Lassina (2009) Computing genus-2 Hilbert–Siegel modular forms over via the Jacquet–Langlands correspondence. Experimental Mathematics, Vol.18 (No.3). pp. 337-345. doi:10.1080/10586458.2009.10129048 ISSN 1058-6458.

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Official URL: http://dx.doi.org/10.1080/10586458.2009.10129048

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Abstract

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 . In those examples, we identify Hilbert–Siegel eigenforms that are possible lifts from Hilbert eigenforms.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title: Experimental Mathematics
Publisher: A K Peters, Ltd.
ISSN: 1058-6458
Official Date: 2009
Dates:
DateEvent
2009Published
Volume: Vol.18
Number: No.3
Page Range: pp. 337-345
DOI: 10.1080/10586458.2009.10129048
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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