Quadratic extensions of quintic fields of signature
Schehrazad Selmane (2002)
Acta Mathematica et Informatica Universitatis Ostraviensis
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Schehrazad Selmane (2002)
Acta Mathematica et Informatica Universitatis Ostraviensis
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Gautam Chinta, Joel B. Mohler (2010)
Acta Arithmetica
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W. Narkiewicz (1971)
Mémoires de la Société Mathématique de France
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Alexei Entin (2014)
Acta Arithmetica
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For a function field K and fixed polynomial F ∈ K[x] and varying f ∈ F (under certain restrictions) we give a lower bound for the degree of the greatest prime divisor of F(f) in terms of the height of f, establishing a strong result for the function field analogue of a classical problem in number theory.
V. Sprindžuk (1974)
Acta Arithmetica
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Spearman, Blair K., Williams, Kenneth S., Yang, Qiduan (2007)
International Journal of Mathematics and Mathematical Sciences
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Yu-Ru Liu (2004)
Acta Arithmetica
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Marzena Ciemała (2000)
Acta Mathematica et Informatica Universitatis Ostraviensis
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Albrecht Pfister (1979)
Mémoires de la Société Mathématique de France
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Yutaka Sueyoshi (2004)
Acta Arithmetica
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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...