Abstract
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.
Research supported by NSF grant DMS-9631647
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© 1998 Springer-Verlag Berlin Heidelberg
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Scheidler, R., Stein, A. (1998). Unit computation in purely cubic function fields of unit rank 1. In: Buhler, J.P. (eds) Algorithmic Number Theory. ANTS 1998. Lecture Notes in Computer Science, vol 1423. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0054895
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DOI: https://doi.org/10.1007/BFb0054895
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