On a problem of Dvornicich and Zannier

• Autorzy: Pierre Dèbes
• Języki publikacji: EN

Kategorie tematyczne

• 12E25: Hilbertian fields; Hilbert's irreducibility theorem
• 11R58: Arithmetic theory of algebraic function fields
• 14H05: Algebraic functions; function fields

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1995
• Tom: 73
• Numer: 4
• Strony: 379-387

Daty

wydano

1995

otrzymano

1994-12-16

Twórcy

autor

Pierre Dèbes

• U.F.R. Mathématiques, Université de Lille 1, 59655 Villeneuve d'Ascq Cedex, France

Bibliografia

• 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 $P(t^m,Y)$, 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.