Purely cubic complex function fields with small units

R. Scheidler

Acta Arithmetica (2000)

  • Volume: 95, Issue: 4, page 289-304
  • ISSN: 0065-1036

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Scheidler, R.. "Purely cubic complex function fields with small units." Acta Arithmetica 95.4 (2000): 289-304. <http://eudml.org/doc/207452>.

@article{Scheidler2000,
author = {Scheidler, R.},
journal = {Acta Arithmetica},
keywords = {regulator; purely cubic function field; fundamental unit},
language = {eng},
number = {4},
pages = {289-304},
title = {Purely cubic complex function fields with small units},
url = {http://eudml.org/doc/207452},
volume = {95},
year = {2000},
}

TY - JOUR
AU - Scheidler, R.
TI - Purely cubic complex function fields with small units
JO - Acta Arithmetica
PY - 2000
VL - 95
IS - 4
SP - 289
EP - 304
LA - eng
KW - regulator; purely cubic function field; fundamental unit
UR - http://eudml.org/doc/207452
ER -

References

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  1. [1] M. Mang, Berechnung von Fundamentaleinheiten in algebraischen, insbesondere rein-kubischen Kongruenzfunktionenkörpern, Diplomarbeit, Universität des Saarlandes, Saarbrücken, 1987. 
  2. [2] R. J. Rudman, On the fundamental unit of a purely cubic field, Pacific J. Math. 46 (1973), 253-256. Zbl0253.12006
  3. [3] R. Scheidler and A. Stein, Voronoi's algorithm in purely cubic congruence function fields of unit rank 1, Math. Comput. 69 (2000), 1245-1266. Zbl1042.11068
  4. [4] R. Scheidler and A. Stein, Unit computation in purely cubic function fields of unit rank 1, in: Proceedings of the Third Algorithmic Number Theory Symposium ANTS-III, Lecture Notes in Comput. Sci. 1423, Springer, Berlin, 1998, 592-606. Zbl0935.11051
  5. [5] H.-J. Stender, Über die Grundeinheit für spezielle unendliche Klassen reiner kubischer Zahlkörper, Abh. Math. Sem. Univ. Hamburg 33 (1969), 203-215. 
  6. [6] H. Stichtenoth, Algebraic Function Fields and Codes, Springer, Berlin, 1993. 
  7. [7] H. C. Williams, Some results on fundamental units in cubic fields, J. Reine Angew. Math. 286/287 (1976), 75-85. Zbl0335.12009

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