ANTS
2004
Springer
14 years 5 months ago
2004
Springer
Abstract. This paper presents an investigative account of arbitrary cubic function fields. We present an elementary classification of the signature of a cubic extension of a rati...
ANTS
2004
Springer
14 years 5 months ago
2004
Springer
We present an algorithm for the computation of the discrete logarithm in logarithmic -Class Groups. This is applied to the calculation to the -rank of the wild kernel WK2 of a numb...
ANTS
2004
Springer
14 years 5 months ago
2004
Springer
We study the problem of computing the k-th term of the Farey sequence of order n, for given n and k. Several methods for generating the entire Farey sequence are known. However, th...
ANTS
2004
Springer
14 years 5 months ago
2004
Springer
ANTS
2004
Springer
14 years 5 months ago
2004
Springer
ANTS
2004
Springer
14 years 5 months ago
2004
Springer
We compute all nonic extensions of Q3 and find that there are 795 of them up to isomorphism. We describe how to compute the associated Galois group of such a field, and also the ...
ANTS
2004
Springer
14 years 5 months ago
2004
Springer
We present a technique to recover f ∈ Q(ζp) where ζp is a primitive pth root of unity for a prime p, given its norm g = f ∗ ¯f in the totally real field Q(ζp + ζ−1 p )....
ANTS
2004
Springer
14 years 5 months ago
2004
Springer
In this paper we investigate the efficiency of the function field sieve to compute discrete logarithms in the finite fields F3n . Motivated by attacks on identity based encrypti...
ANTS
2004
Springer
14 years 5 months ago
2004
Springer
In this paper, we study p-divisibility of discriminants of Hecke algebras associated to spaces of cusp forms of prime level. By considering cusp forms of weight bigger than 2, we a...
ANTS
2004
Springer
14 years 5 months ago
2004
Springer
We discuss the situation where a curve C, defined over a number field K, has a known K-rational divisor class of degree 1, and consider whether this class contains an actual K-ra...