Annihilators for the class group of a cyclic field of prime power degree
C. Greither, R. Kučera (2004)
Acta Arithmetica
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Displaying similar documents to “Congruence of Ankeny-Artin-Chowla type for cyclic fields”
Annihilators for the class group of a cyclic field of prime power degree
On cyclic cubic fields.
Francisca Cánovas Orvay (1991)
Extracta Mathematicae
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Tame kernels of cubic cyclic fields
Haiyan Zhou (2006)
Acta Arithmetica
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The imaginary cyclic sextic fields with class numbers equal to their genus class numbers
Stéphane Louboutin (1998)
Colloquium Mathematicae
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It is known that there are only finitely many imaginary abelian number fields with class numbers equal to their genus class numbers. Here, we determine all the imaginary cyclic sextic fields with class numbers equal to their genus class numbers.
Tame kernels of quintic cyclic fields
Xia Wu (2008)
Acta Arithmetica
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Class numbers of real cyclic number fields with small conductor
John Myron Masley (1978)
Compositio Mathematica
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Power integral bases in orders of composite fields.
Gaál, István, Olajos, Péter, Pohst, Michael (2002)
Experimental Mathematics
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Solution of small class number problems for cyclotomic fields
John Myron Masley (1976)
Compositio Mathematica
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The calculation of large units in cyclic cubic fields.
H.J. Godwin (1983)
Journal für die reine und angewandte Mathematik
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On the class numbers of real cyclotomic fields of conductor pq
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...