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Computing Hilbert modular forms over fields with nontrivial class group
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Dembélé, Lassina and Donnelly, Steve (2008) Computing Hilbert modular forms over fields with nontrivial class group. In: van der Poorten, Alfred J. and Stein, Andreas , (eds.) Algorithmic Number Theory. Lecture Notes in Computer Science, Vol.5011 . Berlin : Heidelberg: Springer, pp. 371-386. ISBN 9783540794554
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Official URL: http://dx.doi.org/10.1007/978-3-540-79456-1_25
Abstract
We exhibit an algorithm for the computation of Hilbert modular forms over an arbitrary totally real number field of even degree, extending results of the first author. We present some new instances of the conjectural Eichler-Shimura construction for totally real number fields over the fields Q(10) and Q(85) and their Hilbert class fields, and in particular some new examples of modular abelian varieties with everywhere good reduction over those fields.
Item Type: | Book Item | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Series Name: | Lecture Notes in Computer Science | ||||
Publisher: | Springer | ||||
Place of Publication: | Berlin : Heidelberg | ||||
ISBN: | 9783540794554 | ||||
Book Title: | Algorithmic Number Theory | ||||
Editor: | van der Poorten, Alfred J. and Stein, Andreas | ||||
Official Date: | 2008 | ||||
Dates: |
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Volume: | Vol.5011 | ||||
Page Range: | pp. 371-386 | ||||
DOI: | 10.1007/978-3-540-79456-1_25 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published |
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