On a problem of Dvornicich and Zannier

Pierre Dèbes

Acta Arithmetica (1995)

  • Volume: 73, Issue: 4, page 379-387
  • ISSN: 0065-1036

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Pierre Dèbes. "On a problem of Dvornicich and Zannier." Acta Arithmetica 73.4 (1995): 379-387. <http://eudml.org/doc/206829>.

@article{PierreDèbes1995,
author = {Pierre Dèbes},
journal = {Acta Arithmetica},
keywords = {algebraic functions; minimal degree of a field; lower bound irreducible polynomials},
language = {eng},
number = {4},
pages = {379-387},
title = {On a problem of Dvornicich and Zannier},
url = {http://eudml.org/doc/206829},
volume = {73},
year = {1995},
}

TY - JOUR
AU - Pierre Dèbes
TI - On a problem of Dvornicich and Zannier
JO - Acta Arithmetica
PY - 1995
VL - 73
IS - 4
SP - 379
EP - 387
LA - eng
KW - algebraic functions; minimal degree of a field; lower bound irreducible polynomials
UR - http://eudml.org/doc/206829
ER -

References

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  1. E. Artin and G. Whaples, Axiomatic characterization of fields by the product formula for valuations, Bull. Amer. Math. Soc. 51 (1945), 469-492. Zbl0060.08302
  2. [Bo] E. Bombieri, On Weil's 'Théorème de décomposition', Amer. J. Math. 105 (1983), 295-308. Zbl0516.12009
  3. [De1] P. Dèbes, G-fonctions et Théorème d'irréductibilité de Hilbert, Acta Arith. 47 (1986), 371-403. 
  4. [De2] P. Dèbes, On the irreducibility of the polynomials P ( t m , Y ) , J. Number Theory 42 (1992), 141-157. Zbl0770.12005
  5. [De3] P. Dèbes, Hilbert subsets and s-integral points, preprint, 1994. 
  6. [DvZa1] R. Dvornicich and U. Zannier, Fields containing values of algebraic functions, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 21 (1994), 421-443. Zbl0819.12003
  7. [DvZa2] R. Dvornicich and U. Zannier, Fields containing values of algebraic functions II (On a conjecture of Schinzel), Acta Arith. 72 (1995), 201-210. Zbl0832.12001
  8. [La] S. Lang, Fundamentals of Diophantine Geometry, Springer, 1983. Zbl0528.14013
  9. [Sp] V. G. Sprindžuk, Arithmetic specializations in polynomials, J. Reine Angew. Math. 340 (1983), 26-52. 

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