34 search results - page 2 / 7 » Algorithms for ray class groups and Hilbert class fields |
MOC
1998
13 years 5 months ago
1998
We use the algorithmic computation of exact sequences of Abelian groups to compute the complete structure of (ZK /m)∗ for an ideal m of a number field K, as well as ray class gr...
ANTS
2010
Springer
13 years 8 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...
STOC
2005
ACM
14 years 5 months ago
2005
ACM
Computing the unit group and class group of a number field are two of the main tasks in computational algebraic number theory. Factoring integers reduces to solving Pell's eq...
ANTS
2010
Springer
13 years 8 months ago
2010
Springer
CMA
2010
13 years 2 months ago
2010
Complex Multiplication (CM) method is a frequently used method for the generation of elliptic curves (ECs) over a prime field Fp. The most demanding and complex step of this metho...