ANTS
2000
Springer
13 years 9 months ago
2000
Springer
This paper analyzes reduction of fractional ideals in a purely cubic function field of unit rank one. The algorithm is used for generating all the reduced principal fractional ide...
ANTS
2000
Springer
13 years 9 months ago
2000
Springer
ANTS
2000
Springer
13 years 9 months ago
2000
Springer
Abstract. A description and an example are given of numerical experiments which look for a relation between modular forms for certain congruence subgroups of SL(3, ZZ) and Galois r...
ANTS
2000
Springer
13 years 9 months ago
2000
Springer
We discuss computation of the special values of partial zeta functions associated to totally real number fields. The main tool is the Eisenstein cocycle Ψ, a group cocycle for GL...
ANTS
2000
Springer
13 years 9 months ago
2000
Springer
We shall discuss the idea of finding all rational points on a curve C by first finding an associated collection of curves whose rational points cover those of C. This classical ...
ANTS
2000
Springer
13 years 9 months ago
2000
Springer
Abstract. Essentially all subexponential time algorithms for the discrete logarithm problem over nite elds are based on the index calculus idea. In proposing cryptosystems based on...