164 search results - page 2 / 33 » On Class Group Computations Using the Number Field Sieve |
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
2006
Springer
13 years 8 months ago
2006
Springer
We show that the locally free class group of an order in a semisimple algebra over a number field is isomorphic to a certain ray class group. This description is then used to prese...
MOC
2011
12 years 11 months ago
2011
Let K be an imaginary quadratic field with class number one and let p ⊂ OK be a degree one prime ideal of norm p not dividing 6dK . In this paper we generalize an algorithm of S...
ANTS
2004
Springer
13 years 10 months ago
2004
Springer
Given an algebraic number field K, such that [K : Q] is constant, we show that the problem of computing the units group O∗ K is in the complexity class SPP. As a consequence, w...
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...