Download PDF - Integer solutions of a sequence of decomposable form inequalitiesAll rights reserved. Copyright exceptions and limitations apply

ArticleOriginal scientific text

Title

Integer solutions of a sequence of decomposable form inequalities

Authors 1, 2

Affiliations

  1. Institute of Mathematics and Informatics, Lajos Kossuth University, Pf. 12, H-4010 Debrecen, Hungary
  2. Department of Mathematics, University of Houston, Houston, Texas 77204, U.S.A.

Bibliography

  1. [EGy1] J. H. Evertse and K. Győry, Finiteness criteria for decomposable form equations, Acta Arith. 50 (1988), 357-379.
  2. [EGy2] J. H. Evertse and K. Győry, Decomposable form equations, in: New Advances in Transcendence Theory, A. Baker (ed.), Cambridge Univ. Press, 1988, 175-202.
  3. [EGy3] J. H. Evertse and K. Győry, Effective finiteness results for binary forms with given discriminant, Compositio Math. 79 (1991), 169-204.
  4. [EGy4] J. H. Evertse and K. Győry, The number of families of solutions of decomposable form equations, Acta Arith. 80 (1997), 367-394.
  5. [Gy1] K. Győry, Some applications of decomposable form equations to resultant equations, Colloq. Math. 65 (1993), 267-275.
  6. [Gy2] K. Győry, On the number of pairs of polynomials with given resultant or given semi-resultant, Acta Sci. Math. (Szeged) 57 (1993), 515-529.
  7. [Gy3] K. Győry, On the irreducibility of neighbouring polynomials, Acta Arith. 67 (1994), 283-296.
  8. [L] S. Lang, Fundamentals of Diophantine Geometry, Springer, 1983.
  9. [RV] M. Ru and P. Vojta, Schmidt's subspace theorem with moving targets, Invent. Math. 127 (1997), 51-65.
  10. [RW] M. Ru and P. M. Wong, Integral points of Pn - {2n+1 hyperplanes in general position}, Invent. Math. 106 (1991), 195-216.
  11. [Schl] H. P. Schlickewei, Inequalities for decomposable forms, Astérisque 41-42 (1977), 267-271.
  12. [Sch1] W. M. Schmidt, Inequalities for resultants and for decomposable forms, in: Diophantine Approximation and its Applications, Academic Press, New York, 1973, 235-253.
  13. [Sch2] W. M. Schmidt, Diophantine Approximation, Lecture Notes in Math. 785, Springer, Berlin, 1980.
  14. [W] E. Wirsing, On approximations of algebraic numbers by algebraic numbers of bounded degree, in: Proc. Sympos. Pure Math. 20, Amer. Math. Soc., Providence, R.I., 1971, 213-247.
Acta Arithmetica
1998/86/3
Export to PBN, Opens in new tab
Pages:
227-237
Main language of publication
English
Received
1997-09-15
Accepted
1998-06-02
Published
1998
Exact and natural sciences