Causality and Non-Localisable Fields
F. Constantinescu, J. G. Taylor (1973)
Recherche Coopérative sur Programme n°25
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F. Constantinescu, J. G. Taylor (1973)
Recherche Coopérative sur Programme n°25
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Enrico Bombieri, Julia Mueller, Umberto Zannier (2001)
Acta Arithmetica
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M. D. Prešić (1970)
Matematički Vesnik
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Shabbir, Ghulam, Amur, Khuda Bux (2006)
APPS. Applied Sciences
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Jeffrey L. Stuart (2016)
Czechoslovak Mathematical Journal
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Attila Pethő, Michael E. Pohst (2012)
Acta Arithmetica
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Omar, Sami (2001)
Experimental Mathematics
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Yu-Ru Liu, Craig V. Spencer, Xiaomei Zhao (2010)
Acta Arithmetica
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Grzegorz Łubczonok (1981)
Colloquium Mathematicae
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W. J. Ellison (1970-1971)
Séminaire de théorie des nombres de Bordeaux
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Arne Winterhof (2001)
Acta Arithmetica
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Paulo Ribenboim (1992)
Manuscripta mathematica
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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...
Jean-Paul Cerri, Jérôme Chaubert, Pierre Lezowski (2014)
Acta Arithmetica
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We study the Euclidean property for totally indefinite quaternion fields. In particular, we establish a complete list of norm-Euclidean such fields over imaginary quadratic number fields. This enables us to exhibit an example which gives a negative answer to a question asked by Eichler. The proofs are both theoretical and algorithmic.
Ján Minác, Michel Spira (1990)
Mathematische Zeitschrift
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Ivan Kolář (1973)
Annales Polonici Mathematici
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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.