ArticleOriginal scientific text
Title
On a problem of Dvornicich and Zannier
Authors 1
Affiliations
- U.F.R. Mathématiques, Université de Lille 1, 59655 Villeneuve d'Ascq Cedex, France
Bibliography
- E. Artin and G. Whaples, Axiomatic characterization of fields by the product formula for valuations, Bull. Amer. Math. Soc. 51 (1945), 469-492.
- [Bo] E. Bombieri, On Weil's 'Théorème de décomposition', Amer. J. Math. 105 (1983), 295-308.
- [De1] P. Dèbes, G-fonctions et Théorème d'irréductibilité de Hilbert, Acta Arith. 47 (1986), 371-403.
- [De2] P. Dèbes, On the irreducibility of the polynomials
, J. Number Theory 42 (1992), 141-157. - [De3] P. Dèbes, Hilbert subsets and s-integral points, preprint, 1994.
- [DvZa1] R. Dvornicich and U. Zannier, Fields containing values of algebraic functions, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 21 (1994), 421-443.
- [DvZa2] R. Dvornicich and U. Zannier, Fields containing values of algebraic functions II (On a conjecture of Schinzel), Acta Arith. 72 (1995), 201-210.
- [La] S. Lang, Fundamentals of Diophantine Geometry, Springer, 1983.
- [Sp] V. G. Sprindžuk, Arithmetic specializations in polynomials, J. Reine Angew. Math. 340 (1983), 26-52.