On a problem of Schinzel concerning principal divisors in arithmetic progressions
Charles Parry (1971)
Acta Arithmetica
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Charles Parry (1971)
Acta Arithmetica
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M. Bhaskaran (1974)
Acta Arithmetica
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Bernat Plans, Núria Vila (2005)
Journal de Théorie des Nombres de Bordeaux
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This paper considers some refined versions of the Inverse Galois Problem. We study the local or global behavior of rational specializations of some finite Galois covers of .
Núria Vila (1992)
Publicacions Matemàtiques
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The problem of the construction of number fields with Galois group over Q a given finite groups has made considerable progress in the recent years. The aim of this paper is to survey the current state of this problem, giving the most significant methods developed in connection with it.
Szeto, George, Xue, Lianyong (2000)
International Journal of Mathematics and Mathematical Sciences
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Pierre Dèbes (1999)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Szeto, George, Xue, Lianyong (2001)
International Journal of Mathematics and Mathematical Sciences
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Daniel Bertrand (2002)
Banach Center Publications
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The intrinsic differential Galois group is a twisted form of the standard differential Galois group, defined over the base differential field. We exhibit several constraints for the inverse problem of differential Galois theory to have a solution in this intrinsic setting, and show by explicit computations that they are sufficient in a (very) special situation.