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» Algorithmic Aspects of Cubic Function Fields
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ANTS
2004
Springer
105views Algorithms» more  ANTS 2004»
13 years 10 months ago
Algorithmic Aspects of Cubic Function Fields
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...
Renate Scheidler
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
2008
Springer
70views Algorithms» more  ANTS 2008»
13 years 6 months ago
Tabulation of Cubic Function Fields with Imaginary and Unusual Hessian
Pieter Rozenhart, Renate Scheidler
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