ArticleOriginal scientific text

Title

Purely cubic complex function fields with small units

Authors 1

Affiliations

  1. Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, U.S.A.

Keywords

regulator, purely cubic function field, fundamental unit

Bibliography

  1. M. Mang, Berechnung von Fundamentaleinheiten in algebraischen, insbesondere rein-kubischen Kongruenzfunktionenkörpern, Diplomarbeit, Universität des Saarlandes, Saarbrücken, 1987.
  2. R. J. Rudman, On the fundamental unit of a purely cubic field, Pacific J. Math. 46 (1973), 253-256.
  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.
  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.
  5. H.-J. Stender, Über die Grundeinheit für spezielle unendliche Klassen reiner kubischer Zahlkörper, Abh. Math. Sem. Univ. Hamburg 33 (1969), 203-215.
  6. H. Stichtenoth, Algebraic Function Fields and Codes, Springer, Berlin, 1993.
  7. H. C. Williams, Some results on fundamental units in cubic fields, J. Reine Angew. Math. 286/287 (1976), 75-85.
Pages:
289-304
Main language of publication
English
Received
1998-03-23
Accepted
2000-03-17
Published
2000
Exact and natural sciences