Points entiers sur les courbes de genre 0

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Département de Mathématiques, Université de Thessalonique, 54006 Thessalonique, Grèce

hauteur, point S-entier, courbe algébrique

B. Brindza, On the generators of S-unit group in algebraic number fields, Bull. Austral. Math. Soc. 43 (1991), 325-329.
K. Győry, On S-integral solutions of norm forms, discriminant forms and index form equations, Studia Sci. Math. Hungar. 16 (1981), 149-161.
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.
S. Lang, Algebraic Number Theory, Addison-Wesley, 1970.
S. Lang, Fundamentals of Diophantine Geometry, Springer, New York, 1983.
W. Masser and G. Wüstholtz, Fields of large transcendence degree generated by values of elliptic functions, Invent. Math. 72 (1983), 407-464.
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.
W. M. Schmidt, Eisenstein theorem on power series expansions of algebraic functions, Acta Arith. 56 (1990), 161-179.
W. M. Schmidt, Construction and estimation of bases in function fields, J. Number Theory 39 (1991), 181-224.
W. M. Schmidt, Integer points on curves of genus 1, Compositio Math. 81 (1992), 33-59.
J.-P. Serre, Lectures on the Mordell-Weil Theorem, Vieweg, 1989.
C. L. Siegel, Über einige Anwendungen diophantischer Approximationen, Abh. Preuss. Akad. Wiss. 1929.
C. L. Siegel, Abschätzung von Einheiten, Nachr. Akad. Wiss. Göttingen Math.-Phys. Kl. II 1969 (9), 71-86.
J. H. Silvermann, The Arithmetic of Elliptic Curves, Springer, New York, 1986.