An algorithm for determining the regulator and the fundamental unit of a hyperelliptic congruence function field. (English) Zbl 0925.11054

Stein, Andreas; Zimmer, Horst Günter

Watt, Stephen M. (ed.), ISSAC ’91. Proceedings of the 1991 international symposium on Symbolic and algebraic computation. Bonn, Germany, July 15–17, 1991. New York, NY: ACM Press, 183-184 (1991).

MSC:

11Y40	Algebraic number theory computations
11R27	Units and factorization
11R58	Arithmetic theory of algebraic function fields

Keywords:

baby-step giant-step method; JFM 50.0107.01; congruence function field; fundamental unit; regulator

Citations:

Zbl 0757.11046; JFM 50.0107.01

Software:

SIMATH