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» Computations of class numbers of real quadratic fields
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JC
2000
135views more  JC 2000»
13 years 5 months ago
Decision Problems in Quadratic Function Fields of High Genus
This paper provides verification procedures for a number of decision problems in quadratic function fields of odd characteristic, thereby establishing membership of these problems...
Renate Scheidler
ANTS
2010
Springer
263views Algorithms» more  ANTS 2010»
13 years 8 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
2000
89views more  MOC 2000»
13 years 5 months ago
Computation of relative class numbers of CM-fields by using Hecke L-functions
We develop an efficient technique for computing values at s = 1 of Hecke L-functions. We apply this technique to the computation of relative class numbers of non-abelian CM-fields ...
Stéphane Louboutin
ANTS
2008
Springer
115views Algorithms» more  ANTS 2008»
13 years 7 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