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

DOI10.1017/S1446788700008053zbMath1092.11044OpenAlexW2116026279MaRDI QIDQ4681465

Hwanyup Jung, So Young Choi, Jae-Hyun Ahn

Publication date: 23 June 2005

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788700008053

zbMATH Keywords

class groupcongruence function fieldClass numbercyclotomic function field.

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Cyclotomic function fields (class groups, Bernoulli objects, etc.) (11R60) Iwasawa theory (11R23)

Related Items (2)

A DETERMINANT FORMULA FOR RELATIVE CONGRUENCE ZETA FUNCTIONS FOR CYCLOTOMIC FUNCTION FIELDS ⋮ Determinant formulas for zeta functions for real abelian function fields

Cites Work

• Unnamed Item
• A note on the Demjanenko matrices related to the cyclotomic \({\mathbb{Z}}_p\)-extension
• Demjanenko matrix and recursion formula for relative class number over function fields.
• Class numbers of cyclotomic function fields
• Explicit Class Field Theory for Rational Function Fields
• A note on the relative class number in function fields
• Elementary Methods in Number Theory
• A generalization of Maillet and Demyanenko determinants for the cyclotomic \(\mathbb Z_p\)-extension

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