88 search results - page 2 / 18 » On the Distribution of Class Groups of Number Fields |
ANTS
2004
Springer
14 years 12 days 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...
ANTS
2008
Springer
13 years 9 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...
MOC
2002
13 years 6 months ago
2002
Abstract. In this paper, we provide tight estimates for the divisor class number of hyperelliptic function fields. We extend the existing methods to any hyperelliptic function fiel...
MOC
2000
13 years 6 months ago
2000
Abstract. The distribution of ideal class groups of Fq(T, M(T)) is examined for degree-four monic polynomials M Fq[T] when Fq is a finite field of characteristic greater than 3 wi...
ANTS
2006
Springer
13 years 10 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...