Class number formulae in the form of a product of determinants in function fields-Reference-Cited by-同舟云学术

Class number formulae in the form of a product of determinants in function fields

Published:2005-04 Issue:2 Volume:78 Page:227-238
ISSN:1446-7887
Container-title:Journal of the Australian Mathematical Society
language:en
Short-container-title:J. Aust. Math. Soc.

Author:

Ahn Jaehyun,Choi Soyoung,Jung Hwanyup

Abstract

AbstractIn this paper, we generalize the Kučera's group-determinant formulae to obtain the real and relative class number formulae of any subfield of cyclotomic function fields with arbitrary conductor in the form of a product of determinants. From these formulae, we generalize the relative class number formula of Rosen and Bae-Kang and obtain analogous results of Tsumura and Hirabayashi for an intermediate field in the tower of cyclotomic function fields with prime power conductor.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference10 articles.

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5. Explicit class field theory for rational function fields

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