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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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
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:	Date Event 2008 Published
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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• Computing Hilbert modular forms over fields with nontrivial class group. (deposited 22 Mar 2012 10:26) [Currently Displayed]
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