88 search results - page 1 / 18 » On the Distribution of Class Groups of Number Fields |
EM
2010
13 years 3 days ago
2010
We propose a modification of the predictions of the Cohen
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...
ASIACRYPT
2003
Springer
13 years 10 months ago
2003
Springer
The best practical algorithm for class group computations in imaginary quadratic number fields (such as group structure, class number, discrete logarithm computations) is a varian...
SODA
2010
ACM
14 years 2 months ago
2010
ACM
This paper analyzes the complexity of problems from class field theory. Class field theory can be used to show the existence of infinite families of number fields with constant ro...
MOC
1998
13 years 4 months ago
1998
Using a new regulator bound we determine unit groups and class groups of the 289040 quintic algebraic number fields with absolute discriminant less than 2 × 107 (totally real fi...