The unit rank classification of a cubic function field by its discriminant

Y. Lee

doi:10.1007/s00229-004-0530-5

The unit rank classification of a cubic function field by its discriminant

Y. Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

An arbitrary cubic function field can have 0, 1, or 2 for its unit rank. This paper presents the complete classification of unit rank of an arbitrary cubic function field by its discriminant and the polynomial discriminant of its generating polynomial. The notions of Kummer Theory and Cardano's formula are used.

Original language	English
Pages (from-to)	173-181
Number of pages	9
Journal	Manuscripta Mathematica
Volume	116
Issue number	2
DOIs	https://doi.org/10.1007/s00229-004-0530-5
State	Published - Feb 2005

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The unit rank classification of a cubic function field by its discriminant

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