On integral normal bases over intermediary fields
Juraj Kostra (1989)
Czechoslovak Mathematical Journal
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Juraj Kostra (1989)
Czechoslovak Mathematical Journal
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Olajos, Péter (2005)
Experimental Mathematics
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Antonín Dvořák, David Jedelský, Juraj Kostra (1999)
Mathematica Slovaca
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Blair K. Spearman, Kenneth S. Williams (2004)
Journal de Théorie des Nombres de Bordeaux
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Explicit normal integral bases are given for some cyclic quintic fields defined by Emma Lehmer’s parametric family of quintics.
Yuri Bilu, István Gaál, Kálmán Győry (2004)
Acta Arithmetica
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Schehrazad Selmane (2002)
Acta Mathematica et Informatica Universitatis Ostraviensis
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John C. Miller (2014)
Acta Arithmetica
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The determination of the class number of totally real fields of large discriminant is known to be a difficult problem. The Minkowski bound is too large to be useful, and the root discriminant of the field can be too large to be treated by Odlyzko's discriminant bounds. We describe a new technique for determining the class number of such fields, allowing us to attack the class number problem for a large class of number fields not treatable by previously known methods. We give an application...