2087 search results - page 2 / 418 » Computation of class numbers of quadratic number fields |
STOC
2005
ACM
14 years 6 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 9 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
2000
13 years 6 months ago
2000
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 ...
ANTS
2004
Springer
13 years 11 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 6 months ago
1998
A detailed exposition of Kneser’s neighbour method for quadratic lattices over totally real number fields, and of the sub-procedures needed for its implementation, is given. Usi...