The arithmetic of certain cubic function fields

Mathematics of Computation

Volumn 73, Issue 245, 2004, Pages 387-413

  Bauer, Mark L ^a,b  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b UNIVERSITY OF WATERLOO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0942268039     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-03-01559-X     Document Type: Article

References (7)

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2. [GPS] Galbraith, Paulus, Smart. Arithmetic of Superelliptic Curves. Math. Comp. 71 (2002), 393-405. MR 2002h:14102
3. [H] Hartshorne, Robin. Algebraic Geometry. Graduate Texts in Mathematics, No. 52, Springer-Verlag, New York - Heidelberg, 1997. MR 57:3116
4. [L] Lenstra, A. K. Factoring multivariate polynomials over finite fields. J. of Comput. System Sci. 30 (1985),no. 2, 235-248. MR 87a:11124
5. [Sch] Scheidler, R. Ideal arithmetic and infrastructure in purely cubic function fields. J. Théor. Nombres Bordeaux 13 (2002), 609-631. MR 2002k: 11209
6. [SchSt] Scheidler, R., Stein, A. Unit computation in purely cubic function fields of unit rank 1. Algorithmic number theory (Portland, OR, 1998) 592-606, Lecture Notes in Comput. Sci., 1423, Springer-Verlag, Berlin, 1998. MR 2000k:11145
7. [St] Stichtenoth, Henning. Algebraic Function Fields and Codes. Universitext. Springer-Verlag, Berlin, 1993. MR 94k: 14016