Zeta Function, Class Number and Cyclotomic Units of Cyclotomic Function Fields

Feng, Keqin

doi:10.2969/aspm/02110141

VOL. 21 | 1992 Zeta Function, Class Number and Cyclotomic Units of Cyclotomic Function Fields

Keqin Feng

Editor(s) N. Kurokawa, T. Sunada

Adv. Stud. Pure Math., 1992: 141-152 (1992) DOI: 10.2969/aspm/02110141

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.