OnS-unit equations in two unknowns

Jan–Hendrik Evertse1, Kálmán Györy2, C. L. Stewart3, R. Tijdeman4
1Department of Pure Mathematics, Centre for Mathematics and Computer Science, Amsterdam, The Netherlands
2Mathematical Institute, Kossuth Lajos University, Debrecen, Hungary
3Department of Pure Mathematics, University of Waterloo, Waterloo, Canada
4Mathematical Institute University of Leiden Leiden, The Netherlands

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Tài liệu tham khảo

Baker, A.: The theory of linear forms in logarithms. Transcendence theory: advances and applications, pp. 1?27. London: Academic Press 1977

Erdös, P., Stewart, C.L., Tijdeman, R.: Some diophantine equations with many solutions. Compos. Math. to appear

Evertse, J.-H.: On equations inS-units and the Thue-Mahler equation. Invent Math.75, 561?584 (1984)

Evertse, J.-H.: On sums ofS-units and linear recurrences. Compos. Math.53, 225?244 (1984)

Evertse, J.-H., Györy, K.: On the numbers of solutions of weighted unit equations. Compos. Math. (to appear)

Evertse, J.-H., Györy, K., Stewart, C.L., Tijdeman, R.:S-unit equations and their applications. New advances in transcendence theory. Cambridge University Press (to appear)

Györy, K.: On the number of solutions of linear equations in units of an algebraic number field. Comment. Math. Helv.54, 583?600 (1979)

Györy, K.: On the solutions of linear diophantine equations in algebraic integers of bounded norm. Ann. Univ. Budapest Eötvös, Sect. Math.22?23, 225?233 (1979?80)

Lang, S.: Integral points on curves. Publ. Math. Inst. Hautes Etudes Sci.6, 27?43 (1960)

Lang, S.: Algebraic number theory. Reading, Mass: Addison-Wesley 1970

Lang, S.: Fundamentals of diophantine geometry. New York: Springer 1983

Laurent, M.: Equations diophantiennes exponentielles. Invent. Math.78, 299?327 (1984)

Poorten, A.J., van der: Linear forms in logarithms in thep-adic case. Transcendence theory: advances and applications, pp. 29?57. London: Academic Press 1977

Poorten, A.J., van der, Schlickewei, H.P.: The growth conditions for recurrence sequences. Macquarie Univ. Math. Rep. 82-0041, North. Ryde, Australia, 1982

Shorey, T.N., Tijdeman, R.: Exponential diophantine equations. Cambridge University Press 1986

Siegel, C.L.: Abschätzung von Einheiten. Nachr. Akad. Wiss. Gött., II, Math.-Phys. Kl 71?86, 1969

Zimmert, R.: Ideale kleiner Norm in Idealklassen und eine Regulatorabschätzung. Invent. Math.62, 367?380 (1981)