HILBERT ℓ-CLASS FIELD TOWERS OF IMAGINARY ℓ-CYCLIC FUNCTION FIELDS

DOI10.11568/kjm.2012.20.4.477OpenAlexW4241484192MaRDI QIDQ5887439

Hwanyup Jung

Publication date: 12 April 2023

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

Full work available at URL: https://doi.org/10.11568/kjm.2012.20.4.477

zbMATH Keywords

Hilbert \(\ell\)-class field towerimaginary \(\ell\)-cyclic function field

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Cyclotomic function fields (class groups, Bernoulli objects, etc.) (11R60) Cyclotomic extensions (11R18)

Cites Work

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• The generalized Rédei-matrix for function fields
• The Hilbert class field in function fields
• Algebraic curves over \({\mathbb{F}}_ 2\) with many rational points
• Irreducible polynomials over finite fields with prescribed trace/prescribed constant term
• HILBERT 2-CLASS FIELD TOWERS OF IMAGINARY QUADRATIC FUNCTION FIELDS

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