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» Algorithmic Aspects of Cubic Function Fields
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85
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ANTS
2004
Springer
105views Algorithms» more  ANTS 2004»
15 years 4 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
68
Voted
MOC
2000
111views more  MOC 2000»
14 years 10 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
71
Voted
ANTS
1998
Springer
112views Algorithms» more  ANTS 1998»
15 years 3 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
52
Voted
ANTS
2008
Springer
70views Algorithms» more  ANTS 2008»
15 years 1 months ago
Tabulation of Cubic Function Fields with Imaginary and Unusual Hessian
Pieter Rozenhart, Renate Scheidler
ANTS
2000
Springer
87views Algorithms» more  ANTS 2000»
15 years 3 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