@article{AFST_1996_6_5_4_691_0, author = {Poulakis, Dimitrios}, title = {Estimation effective des points entiers d'une famille de courbes alg\'ebriques}, journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques}, pages = {691--725}, publisher = {Universit\'e Paul Sabatier}, address = {Toulouse}, volume = {6e s{\'e}rie, 5}, number = {4}, year = {1996}, mrnumber = {1473079}, zbl = {0879.11030}, language = {fr}, url = {http://archive.numdam.org/item/AFST_1996_6_5_4_691_0/} }
TY - JOUR AU - Poulakis, Dimitrios TI - Estimation effective des points entiers d'une famille de courbes algébriques JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 1996 SP - 691 EP - 725 VL - 5 IS - 4 PB - Université Paul Sabatier PP - Toulouse UR - http://archive.numdam.org/item/AFST_1996_6_5_4_691_0/ LA - fr ID - AFST_1996_6_5_4_691_0 ER -
%0 Journal Article %A Poulakis, Dimitrios %T Estimation effective des points entiers d'une famille de courbes algébriques %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 1996 %P 691-725 %V 5 %N 4 %I Université Paul Sabatier %C Toulouse %U http://archive.numdam.org/item/AFST_1996_6_5_4_691_0/ %G fr %F AFST_1996_6_5_4_691_0
Poulakis, Dimitrios. Estimation effective des points entiers d'une famille de courbes algébriques. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 5 (1996) no. 4, pp. 691-725. http://archive.numdam.org/item/AFST_1996_6_5_4_691_0/
[1] Integer points on curves of genus 1, Proc. Cambr. Philos. Soc. 67 (1970), pp. 595-602. | MR | Zbl
) et ) .-[2] Analyse effective d'une nouvelle classe d'équations diophantiennes (en russe), Vestsi Akad. Navuk B.S.S.R., Ser. Fiz. Math. Navuk 6, n° 125 (1988), pp. 34-39. | Zbl
) .-[3] Construction of rational functions on curves, Proc. Camb. Phil. Soc. 68 (1970), pp. 105-123. | MR | Zbl
) .-[4] Algebraic curves, The Benjamin I.N.C. 1969. | MR | Zbl
) .-[5] Determination of bounds for the solutions to those binary diophantine equations that satisfy the hypotheses of Runge's Theorem, Trans. Amer. Math. Soc. 280 (1983), pp. 637-657. | MR | Zbl
) et ) . -[6] An elementary test for the Galois group of a quartic polynomial, Amer. Math. Monthly 96, n° 2 (1989), pp. 133-137. | MR | Zbl
) et ) .-[7] On the diophantine equation f(x,y) = 0, J. Reine Angew. Math 286-287 (1975), pp. 124-131. | MR | Zbl
) .-[8] Units in Modular Function Fields, I, Math. Ann. 218 (1975), pp. 67-96. | MR | Zbl
) et ) .-[9] Introduction to algebraic and abelian Functions, New-York - Berlin - Heidelberg, Springer-Verlag 1982. | MR | Zbl
) . -[10] Fundamentals of Diophantine Geometry, New-York - Berlin - Heidelberg - Tokyo, Springer-Verlag 1983. | MR | Zbl
) .-[11] Points entiers sur les courbes hyperelliptiques, Acta Arithmetica LXII, n° 1 (1992), pp. 25-43. | MR | Zbl
) . -[12] Solutions entières de l'equation f(X,Y)α = h(X)g(X,Y), C.R. Acad. Sci. Paris 315 (1992), pp. 963-968. | MR | Zbl
) .-[13] Points entiers sur les courbes de genre 0, Colloquium Math. LXVI, n° 1 (1993), pp. 1-7. | MR | Zbl
) . -[14] Points entiers et modèles de courbes algébriques, Monatshefte für Math. 118 (1994), pp. 111-143. | MR | Zbl
) .-[15] Eisenstein Theorem on power series expansions of algebraic functions, Acta Arithmetica 56 (1990), pp. 161-179. | MR | Zbl
) . -[16] Construction and Estimation of Bases in Function Fields, J. Number. Theory 39 (1991), pp. 181-224. | MR | Zbl
) . -[17] Integer points on curves of genus 1, Compositio Mathematica 81 (1992), pp. 33-59. | Numdam | MR | Zbl
) . -[18] Corps Locaux, Hermann, Paris 1962. | Zbl
) .-[19] Lectures on the Mordell-Weil Theorem, Vieweg 1989. | MR | Zbl
) .-[20] Lettre à D. Bertrand, du 4 juin 1993.
) .-[21] Basic Algebraic Geometry, Berlin - Heidelberg - New-York, Springer-Verlag 1977. | MR | Zbl
) .-[22] Uber einige Anwendungen diophantischer Approximationen, Abh. Preuss. Akad. Weiss 1, 1929. | JFM
) .-[23] The Arithmetic of elliptic curves, New-York - Berlin - Heidelberg, Springer-Verlag 1986. | MR | Zbl
) .-[24] Galois Theory, Chapman and Hall, London - New-York, 1973. | MR | Zbl
) .-[25] Algebraic Curves, New-York - Berlin - Heidelberg, Springer-verlag 1978. | MR | Zbl
) .-[26] A quantitative version of Runge's theorem on diophantine equations, Acta Arith. LXII , n° 2 (1992), pp. 157-172. | MR | Zbl
) .-[27] Note on the effective solution of certain diophantine problems (Siegel's Theorem for a Galois cover), Prépublication.
) . -