Demjanenko matrix and recursion formula for relative class number over function fields.

DOI10.1016/S0022-314X(02)00023-9zbMath1057.11057OpenAlexW1969304369MaRDI QIDQ1869782

Hwanyup Jung, Jae-Hyun Ahn

Publication date: 28 April 2003

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-314x(02)00023-9

zbMATH Keywords

cyclotomic function fieldrelative class numberrecursion formulaDemyanenko 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 (4)

On the size of determinants in the class number formulae of cyclotomic function fields ⋮ Determinant formulas for class numbers in function fields ⋮ Class number formulae in the form of a product of determinants in function fields ⋮ Class numbers of some abelian extensions of rational function fields

Cites Work

• The Stark conjectures on Artin \(L\)-functions at \(s=0\). Lecture notes of a course in Orsay edited by Dominique Bernardi and Norbert Schappacher.
• Demjanenko matrix, class number, and Hodge group
• On the Stickelberger ideal and the circular units of an abelian field
• A recursion formula for the relative class number of the \(p^ n\)-th cyclotomic field
• Stickelberger ideals and relative class numbers in function fields
• Class numbers of cyclotomic function fields
• Class Numbers of Cyclotomic Function Fields
• Class numbers of cyclotomic function fields
• Cyclotomic units and Stickelberger ideals of global function fields

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