Fields containing values of algebraic functions II (On a conjecture of Schinzel)

R. Dvornicich; U. Zannier

Acta Arithmetica (1995)

  • Volume: 72, Issue: 3, page 201-210
  • ISSN: 0065-1036

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R. Dvornicich, and U. Zannier. "Fields containing values of algebraic functions II (On a conjecture of Schinzel)." Acta Arithmetica 72.3 (1995): 201-210. <http://eudml.org/doc/206791>.

@article{R1995,
author = {R. Dvornicich, U. Zannier},
journal = {Acta Arithmetica},
keywords = {irreducible polynomial; Schinzel conjecture; fields containing algebraic functions; lower bound; splitting field},
language = {eng},
number = {3},
pages = {201-210},
title = {Fields containing values of algebraic functions II (On a conjecture of Schinzel)},
url = {http://eudml.org/doc/206791},
volume = {72},
year = {1995},
}

TY - JOUR
AU - R. Dvornicich
AU - U. Zannier
TI - Fields containing values of algebraic functions II (On a conjecture of Schinzel)
JO - Acta Arithmetica
PY - 1995
VL - 72
IS - 3
SP - 201
EP - 210
LA - eng
KW - irreducible polynomial; Schinzel conjecture; fields containing algebraic functions; lower bound; splitting field
UR - http://eudml.org/doc/206791
ER -

References

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  1. [DZ] R. Dvornicich and U. Zannier, Fields containing values of algebraic functions, preprint Univ. Pisa n. 44, novembre 1983; Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 21 (1994), 421-443. Zbl0819.12003
  2. [Ho] C. Hooley, Applications of Sieve Methods to the Theory of Numbers, Cambridge Tracts in Math., Cambridge Univ. Press, 1976. Zbl0327.10044
  3. [La1] S. Lang, Fundamentals of Diophantine Geometry, Springer, 1983. 
  4. [La2] S. Lang, Algebra, 7th ed., Addison-Wesley, 1977. 
  5. [Na] T. Nagell, Zur Arithmetik der Polynome, Abh. Math. Sem. Univ. Hamburg 1 (1922), 179-194. Zbl48.0132.04
  6. [Sch] A. Schinzel, Selected Topics on Polynomials, University of Michigan Press, Ann Arbor, 1982. 
  7. [Se] J.-P. Serre, Lectures on the Mordell-Weil Theorem, Vieweg, 1988. 

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