Points entiers sur les courbes de genre 0

Dimitrios Poulakis

Colloquium Mathematicae (1993)

  • Volume: 66, Issue: 1, page 1-7
  • ISSN: 0010-1354

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Poulakis, Dimitrios. "Points entiers sur les courbes de genre 0." Colloquium Mathematicae 66.1 (1993): 1-7. <http://eudml.org/doc/210230>.

@article{Poulakis1993,
author = {Poulakis, Dimitrios},
journal = {Colloquium Mathematicae},
keywords = {hauteur; point S-entier; courbe algébrique; algebraic curve; finiteness; height; explicit upper bound; -integral points; Thue equation},
language = {fre},
number = {1},
pages = {1-7},
title = {Points entiers sur les courbes de genre 0},
url = {http://eudml.org/doc/210230},
volume = {66},
year = {1993},
}

TY - JOUR
AU - Poulakis, Dimitrios
TI - Points entiers sur les courbes de genre 0
JO - Colloquium Mathematicae
PY - 1993
VL - 66
IS - 1
SP - 1
EP - 7
LA - fre
KW - hauteur; point S-entier; courbe algébrique; algebraic curve; finiteness; height; explicit upper bound; -integral points; Thue equation
UR - http://eudml.org/doc/210230
ER -

References

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  1. [1] B. Brindza, On the generators of S-unit group in algebraic number fields, Bull. Austral. Math. Soc. 43 (1991), 325-329. Zbl0711.11040
  2. [2] K. Győry, On S-integral solutions of norm forms, discriminant forms and index form equations, Studia Sci. Math. Hungar. 16 (1981), 149-161. Zbl0518.10019
  3. [3] K. Győry, On the solutions of linear diophantine equations in algebraic integers of bounded norm, Ann. Univ. Budapest Eötvos Sect. Math. 22-23 (1970-1980), 225-233. 
  4. [4] S. Lang, Algebraic Number Theory, Addison-Wesley, 1970. Zbl0211.38404
  5. [5] S. Lang, Fundamentals of Diophantine Geometry, Springer, New York, 1983. Zbl0528.14013
  6. [6] W. Masser and G. Wüstholtz, Fields of large transcendence degree generated by values of elliptic functions, Invent. Math. 72 (1983), 407-464. Zbl0516.10027
  7. [7] M. Newmann, Bounds for the class numbers, in: Theory of Numbers, Proc. Sympos. Pure Math. 8, Amer. Math. Soc., Providence, R.I., 1965, 70-77. 
  8. [8] W. M. Schmidt, Eisenstein theorem on power series expansions of algebraic functions, Acta Arith. 56 (1990), 161-179. Zbl0659.12003
  9. [9] W. M. Schmidt, Construction and estimation of bases in function fields, J. Number Theory 39 (1991), 181-224. Zbl0764.11046
  10. [10] W. M. Schmidt, Integer points on curves of genus 1, Compositio Math. 81 (1992), 33-59. Zbl0747.11026
  11. [11] J.-P. Serre, Lectures on the Mordell-Weil Theorem, Vieweg, 1989. 
  12. [12] C. L. Siegel, Über einige Anwendungen diophantischer Approximationen, Abh. Preuss. Akad. Wiss. 1929. 
  13. [13] C. L. Siegel, Abschätzung von Einheiten, Nachr. Akad. Wiss. Göttingen Math.-Phys. Kl. II 1969 (9), 71-86. Zbl0186.36703
  14. [14] J. H. Silvermann, The Arithmetic of Elliptic Curves, Springer, New York, 1986. 

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