On the indices of multiquadratic number fields
Attila Pethő, Michael E. Pohst (2012)
Acta Arithmetica
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Attila Pethő, Michael E. Pohst (2012)
Acta Arithmetica
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R. Sikorski (1950)
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Enrico Bombieri, Julia Mueller, Umberto Zannier (2001)
Acta Arithmetica
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Recherche Coopérative sur Programme n°25
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Fernando Fernández Rodríguez, Agustín Llerena Achutegui (1991)
Extracta Mathematicae
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We say that a field K has the Extension Property if every automorphism of K(X) extends to an automorphism of K. J.M. Gamboa and T. Recio [2] have introduced this concept, naive in appearance, because of its crucial role in the study of homogeneity conditions in spaces of orderings of functions fields. Gamboa [1] has studied several classes of fields with this property: Algebraic extensions of the field Q of rational numbers; euclidean, algebraically closed and pythagorean fields; fields...
Krzysztof Jan Nowak (1996)
Annales Polonici Mathematici
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This paper presents a natural axiomatization of the real closed fields. It is universal and admits quantifier elimination.
Paulo Ribenboim (1992)
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Angus Macintyre (1971)
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Jeffrey Stuart (2016)
Czechoslovak Mathematical Journal
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Shabbir, Ghulam, Amur, Khuda Bux (2006)
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Omar, Sami (2001)
Experimental Mathematics
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M. Duggal, I. S. Luthar (1978)
Colloquium Mathematicae
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M. D. Prešić (1970)
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Ján Minác, Michel Spira (1990)
Mathematische Zeitschrift
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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...