Power integral bases in orders of composite fields.
Gaál, István, Olajos, Péter, Pohst, Michael (2002)
Experimental Mathematics
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Gaál, István, Olajos, Péter, Pohst, Michael (2002)
Experimental Mathematics
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Juraj Kostra (1989)
Czechoslovak Mathematical Journal
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Michal Bulant (2005)
Mathematica Slovaca
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Cornelius Greither (1997)
Acta Arithmetica
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Haghighi, M., Miller, J. (1997)
International Journal of Mathematics and Mathematical Sciences
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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...