Class numbers of some abelian extensions of rational function fields

DOI10.1090/S0025-5718-03-01528-XzbMath1057.11056MaRDI QIDQ4433138

Sunghan Bae, Hwanyup Jung, Jae-Hyun Ahn

Publication date: 29 October 2003

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

class numbercyclotomic function fieldDemjanenko matrix

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Cyclotomic function fields (class groups, Bernoulli objects, etc.) (11R60) Class numbers, class groups, discriminants (11R29)

Related Items (1)

Determinant formulas for class numbers in function fields

Cites Work

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• Demjanenko matrix and recursion formula for relative class number over function fields.
• Stickelberger ideals and relative class numbers in function fields
• Formulae for the relative class number of an imaginary abelian field in the form of a determinant
• Class numbers of cyclotomic function fields
• The Relative Class Numbers of Imaginary Cyclic Fields of Degrees 4, 6, 8 and 10
• On the relative class number of cyclotomic function fields
• Cyclotomic units and Stickelberger ideals of global function fields

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