Abstract
Cyclotomic function fields was introduced and used by D. Hayes [15] in 1974 to construct the maximal abelian extension of rational function fields $F_q(T)$. Since then many basic properties on cyclotomic fields have been researched by S. Galovich and M. Rosen [9, 10], D. Goss [13, 14], etc. In this paper we survey several results on class number and cyclotomic units of cyclotomic function fields.
Information
Published: 1 January 1992
First available in Project Euclid: 15 August 2018
zbMATH: 0803.11057
MathSciNet: MR1210787
Digital Object Identifier: 10.2969/aspm/02110141
Rights: Copyright © 1992 Mathematical Society of Japan