@article{CM_1992__81_1_33_0, author = {Schmidt, Wolfgang M.}, title = {Integer points on curves of genus 1}, journal = {Compositio Mathematica}, pages = {33--59}, publisher = {Kluwer Academic Publishers}, volume = {81}, number = {1}, year = {1992}, mrnumber = {1145607}, zbl = {0747.11026}, language = {en}, url = {http://archive.numdam.org/item/CM_1992__81_1_33_0/} }
Schmidt, Wolfgang M. Integer points on curves of genus 1. Compositio Mathematica, Tome 81 (1992) no. 1, pp. 33-59. http://archive.numdam.org/item/CM_1992__81_1_33_0/
[1] The diophantine equation y2=ax3+bx2+cx+d, J. London Math. Soc. 43 (1968), 1-9. | MR | Zbl
:[2] Bounds for the solutions of the hyperelliptic equation, Proc. Camb. Phil. Soc. 65 (1969), 439-444. | MR | Zbl
:[3] The theory of linear forms in logarithms. Transcendence theory: Advances and applications, Proceedings of 1976 Cambridge Conference, Academic Press (1977), pp. 1-27. | MR | Zbl
:[4] Integer points on curves of genus 1, Proc. Camb. Phil. Soc. 67 (1970), 595-602. | MR | Zbl
and :[5] On Siegel's lemma, Invent. Math. 73 (1983), 11-32. | MR | Zbl
and :[6] Construction of rational functions on a curve, Proc. Camb. Phil. Soc. 68 (1970), 105-123. | MR | Zbl
:[7] Lectures on the theory of algebraic functions of one variable, Springer Lecture Notes 314 (1973). | MR | Zbl
:[8] On a question of Lehmer and the number of irreducible factors of a polynomial, Acta Arith. 34 (1979), 391-401. | MR | Zbl
:[9] Uniform bounds for the number of solutions to Yn=f(X), Math. Proc. Camb. Phil. Soc. 100 (1986), 237-248. | MR | Zbl
and :[10] On the solutions of linear diophantine equations in algebraic integers of bounded norm. Ann. Univ. Budapest, Eötvös, Sect. Math. 22-23 (1979/80), 225-233. | MR | Zbl
:[11] Vorlesungen über die Theorie der Algebraischen Zahlen, Akademische Verlagsges, Leipzig (1923). | JFM
:[12] Algebraic Numbers, Addison-Wesley Publ. Co. (1964). | MR | Zbl
:[13] Fundamentals of Diophantine Geometry, Springer-Verlag (1983). | MR | Zbl
:[14] Lower Bounds for Linear Forms in Logarithms, (New advances in transcendence theory, 1986 symposium, Durham), Cambridge University Press (1988). | MR | Zbl
and :[15] Eisenstein's theorem on power series expansions of algebraic functions, Acta Arith. 56 (1990), 161-179. | MR | Zbl
:[16] Construction and estimation of bases in function fields, J. Number Theory (to appear). | MR | Zbl
:[17] The integer solutions of the equation y2=axn+bxn-1+...+k, J. London Math. Soc. 1 (1926), 66-68. | JFM
(under the pseudoname X):[18] Abschätzung von Einheiten, Nachr. Akad. d. Wiss. Göttingen, Math.-Phys. Kl. (1969), 71-86 (Collected Works, No. 88). | MR | Zbl
:[19] The arithmetic of elliptic curves, Springer Graduate Texts 106 (1986). | MR | Zbl
:[20] Lower bounds for height functions, Duke Math. J. 51 (1984), 395-403. | MR | Zbl
:[21] Hyperelliptic diophantine equations and the number of ideal classes, Acta. Arith. 30 (1976), 95-108 (in Russian). | MR | Zbl
:[22] A New Approach to Baker's Theorem on Linear Forms in Logarithms III, (New advances in transcendence theory, 1986 symposium, Durham), Cambridge University Press. | Zbl
: