Dembélé, Lassina and Donnelly, Steve (2008) Computing Hilbert modular forms over fields with nontrivial class group. In: 8th Algorithmic Number Theory Symposium, Banff, Alberta, Canada, 17-22 May 2008 (Unpublished)

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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:	Conference Item (Paper)
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Official Date:	21 May 2008
Dates:	Date Event 21 May 2008 Completion
Status:	Not Peer Reviewed
Publication Status:	Unpublished
Conference Paper Type:	Paper
Title of Event:	8th Algorithmic Number Theory Symposium
Type of Event:	Other
Location of Event:	Banff, Alberta, Canada
Date(s) of Event:	17-22 May 2008

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• Computing Hilbert modular forms over fields with nontrivial class group. (deposited 22 Mar 2012 10:26)
  • Computing Hilbert modular forms over fields with nontrivial class group. (deposited 24 Jul 2012 12:07) [Currently Displayed]

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