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- Title
Class number formulae in the form of a product of determinants in function fields.
- Authors
Ahn, Jaehyun; Choi, Soyoung; Jung, Hwanyup
- Abstract
In 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.
- Publication
Journal of the Australian Mathematical Society, 2005, Vol 78, Issue 2, p227
- ISSN
1446-7887
- Publication type
Article
- DOI
10.1017/S1446788700008053