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» Voronoi's algorithm in purely cubic congruence function fiel...
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MOC
2000
111views more  MOC 2000»
13 years 4 months ago
Voronoi's algorithm in purely cubic congruence function fields of unit rank 1
The first part of this paper classifies all purely cubic function fields over a finite field of characteristic not equal to 3. In the remainder, we describe a method for computing ...
Renate Scheidler, Andreas Stein
ANTS
1998
Springer
112views Algorithms» more  ANTS 1998»
13 years 9 months ago
Unit Computation in Purely Cubic Function Fields of Unit Rank 1
Abstract. This paper describes a method for computing the fundamental unit and regulator of a purely cubic congruence function field of unit
Renate Scheidler, Andreas Stein
ANTS
2000
Springer
87views Algorithms» more  ANTS 2000»
13 years 9 months ago
Reduction in Purely Cubic Function Fields of Unit Rank One
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...
Renate Scheidler