Ideal arithmetic and infrastructure in purely cubic function fields

Journal de Theorie des Nombres de Bordeaux

Volumn 13, Issue 2, 2001, Pages 609-631

  Scheidler, Renate ^a  

^a UNIVERSITY OF CALGARY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85009774545     PISSN: 12467405     EISSN: None     Source Type: Journal    
DOI: 10.5802/jtnb.340     Document Type: Article

References (12)

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3. D. SHANKS, The infrastructure of a real quadratic field and its applications. Proc. 1972 Number Theory Conf., Boulder (Colorado) 1972, 217-224.
4. R. SCHEIDLER, Reduction in purely cubic function fields of unit rank one. Proc. Fourth Algorithmic Number Theory Symp. ANTS-IV, Lect. Notes Comp. Science 1838, Springer, Berlin, 2000, 151-532.
5. R. SCHEIDLER, A. STEIN, Voronoi’s algorithm in purely cubic congruence function fields of unit rank 1. Math. Comp. 69 (2000), 1245-1266.
6. A. STEIN, H. C. WILLIAMS, Some methods for evaluating the regulator of a real quadratic function field. Exp. Math. 8 (1999), 119-133.
7. H. STICHTENOTH, Algebraic function fields and codes. Universitext, Springer-Verlag, Berlin, 1993.
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9. G. F. VORONOI, On a generalization of the algorithm of continued fractions (in Russian). Doctoral Dissertation, Warsaw (Poland), 1896.
10. H. C. WILLIAMS, Continued fractions and number-theoretic computations. Rocky Mountain J. Math. 15 (1985), 621-655.
11. H. C. WILLIAMS, G. CORMACK, E. SEAH, Calculation of the regulator of a pure cubic field. Math. Comp. 34 (1980), 567-611.
12. H. C. WILLIAMS, G. W. DUECK, B. K. SCHMID, A rapid method of evaluating the regulator and class number of a pure cubic field. Math. Comp. 41 (1983), 235-286.