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ANTS
2008
Springer
115views Algorithms» more  ANTS 2008»
11 years 1 months ago
Computing Hilbert Modular Forms over Fields with Nontrivial Class Group
In previous work, the first author developed an algorithm for the computation of Hilbert modular forms. In this paper, we extend this to all totally real number fields of even degr...
Lassina Dembélé, Steve Donnelly
ANTS
2010
Springer
263views Algorithms» more  ANTS 2010»
11 years 3 months ago
Computing Automorphic Forms on Shimura Curves over Fields with Arbitrary Class Number
We extend methods of Greenberg and the author to compute in the cohomology of a Shimura curve defined over a totally real field with arbitrary class number. Via the Jacquet-Langlan...
John Voight
MOC
2011
10 years 6 months ago
Computing systems of Hecke eigenvalues associated to Hilbert modular forms
We utilize effective algorithms for computing in the cohomology of a Shimura curve together with the Jacquet-Langlands correspondence to compute systems of Hecke eigenvalues assoc...
Matthew Greenberg, John Voight
ANTS
2008
Springer
110views Algorithms» more  ANTS 2008»
11 years 1 months ago
Computing Hilbert Class Polynomials
We present and analyze two algorithms for computing the Hilbert class polynomial HD. The first is a p-adic lifting algorithm for inert primes p in the order of discriminant D < ...
Juliana Belding, Reinier Bröker, Andreas Enge...
MOC
2002
113views more  MOC 2002»
10 years 11 months ago
Computation of several cyclotomic Swan subgroups
Let Cl(OK [G]) denote the locally free class group, that is the group of stable isomorphism classes of locally free OK [G]-modules, where OK is the ring of algebraic integers in th...
Timothy Kohl, Daniel R. Replogle
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