On the relative class number of cyclotomic function fields
Hwanyup Jung, Jaehyun Ahn (2003)
Acta Arithmetica
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Hwanyup Jung, Jaehyun Ahn (2003)
Acta Arithmetica
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Michal Bulant (2005)
Mathematica Slovaca
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Pavel Kraemer (2006)
Mathematica Slovaca
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Daniel S. Kubert (1986)
Journal für die reine und angewandte Mathematik
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W. Sinnott (1980/81)
Inventiones mathematicae
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Akira Endo (1990)
Manuscripta mathematica
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Franz Lemmermeyer (2008)
Acta Arithmetica
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David Solomon (1992)
Inventiones mathematicae
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Sunghan Bae, Hwanyup Jung (2011)
Acta Arithmetica
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Humio Ichimura (2002)
Acta Arithmetica
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Wolfgang Schwarz, Hans-Günter Zimmer (1996)
Mathematische Zeitschrift
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Eleni Agathocleous (2014)
Acta Arithmetica
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The class numbers h⁺ of the real cyclotomic fields are very hard to compute. Methods based on discriminant bounds become useless as the conductor of the field grows, and methods employing Leopoldt's decomposition of the class number become hard to use when the field extension is not cyclic of prime power. This is why other methods have been developed, which approach the problem from different angles. In this paper we extend one of these methods that was designed for real cyclotomic fields...