Density of class groups of imaginary \(\ell \)-cyclic function fields

DOI10.1016/j.ffa.2010.12.005zbMath1276.11185OpenAlexW2080776645MaRDI QIDQ539902

Hwanyup Jung

Publication date: 31 May 2011

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2010.12.005

zbMATH Keywords

cyclic extensionsclass groups of function fieldsdensity of class groups

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Class numbers, class groups, discriminants (11R29) Density theorems (11R45)

Cites Work

• The 4-class ranks of quadratic fields
• Densities for 4-class ranks of quadratic function fields
• \(\ell\)-class groups of cyclic function fields of degree \(\ell\)
• Orthogonal Matrices Over Finite Fields
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