This paper describes a method for computing the fundamental unit and regulator of a purely cubic congruence function field of unit rank 1. The technique is based on Voronoi’s algorithm for generating a chain of successive minima in a multiplicative cubic lattice which is used for calculating the fundamental unit and regulator of a purely cubic number field.
CITATION STYLE
Scheidler, R., & Stein, A. (1998). Unit computation in purely cubic function fields of unit rank 1. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1423, pp. 592–606). Springer Verlag. https://doi.org/10.1007/bfb0054895
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