5 search results - page 1 / 1 » Computing Hilbert Modular Forms over Fields with Nontrivial ... |
ANTS
2008
Springer
13 years 6 months ago
2008
Springer
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...
ANTS
2010
Springer
13 years 7 months ago
2010
Springer
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...
MOC
2011
12 years 11 months ago
2011
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...
ANTS
2008
Springer
13 years 6 months ago
2008
Springer
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 < ...
MOC
2002
13 years 4 months ago
2002
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...