Imaginary bicyclic biquadratic function fields in characteristic two

DOI10.1006/jnth.1999.2377zbMath0961.11041OpenAlexW2076815454MaRDI QIDQ1293121

Yves Aubry, Dominique Le Brigand

Publication date: 23 September 1999

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

Full work available at URL: https://semanticscholar.org/paper/ff91f15f9ede2af82990a41f0ea78e3a4d08a313

zbMATH Keywords

function fieldsclass numberclass number oneclass number twoimaginary bicyclic biquadratic extensions

Mathematics Subject Classification ID

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

Related Items

Class number one problem for imaginary function fields: the cyclic prime power case

Cites Work

• The Hilbert class field in function fields
• Algebraic function fields with small class number
• Analytische Zahlentheorie in Körpern der Charakteristik \(p\)
• Fibre products of Artin-Schreier curves and generalized Hamming weights of codes
• On unique factorization in certain rings of algebraic functions
• The imaginary bicyclic biquadratic fields with class-number 1.
• Algebraic function fields of class number one
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