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

• Autores: Jaehyun Ahn, Soyoung Choi, Hwanyup Jung
• Localización: Journal of the Australian Mathematical Society, ISSN 1446-7887, Vol. 78, Nº 2, 2004, págs. 227-238
• Idioma: inglés
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• Resumen

  • In this paper, we generalize the Kucera'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.