On the class numbers of the maximal real subfields of cyclotomic function fields. II

DOI10.1006/jnth.1998.2272zbMath1073.11524OpenAlexW2087029961MaRDI QIDQ1273204

Humio Ichimura

Publication date: 1998

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

Full work available at URL: https://doi.org/10.1006/jnth.1998.2272

Mathematics Subject Classification ID

Cyclotomic function fields (class groups, Bernoulli objects, etc.) (11R60) Class numbers, class groups, discriminants (11R29)

Related Items (6)

Biographical Sketch of Professor Humio Ichimura ⋮ On real quadratic function fields ⋮ On normal integral bases of unramified abelian \(p\)-extensions over a global function field of characteristic \(p\) ⋮ On the orthogonal of cyclotomic units in positive characteristic ⋮ Indivisibility of divisor class numbers of Kummer extensions over the rational function field ⋮ Infinite families of cyclotomic function fields with any prescribed class group rank

Cites Work

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• On the class numbers of the maximal real subfields of cyclotomic function fields
• Analytische Zahlentheorie in Körpern der Charakteristik \(p\)
• The congruence monodromy problems
• \(S\)-units and \(S\)-class group in algebraic function fields
• Abelian varieties over finite fields
• Teilbarkeitseigenschaften der singulären Moduln der elliptischen Funktionen und die Diskriminante der Klassengleichung

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