On the practical solution of the Thue equation

N. Tzanakis; B.M.M. de Weger

doi:10.1016/0022-314X(89)90014-0

On the practical solution of the Thue equation

N. Tzanakis
, B.M.M. de Weger

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Abstract

This paper gives in detail a practical general method for the explicit determination of all solutions of any Thue equation. It uses a combination of Baker's theory of linear forms in logarithms and recent computational diophantine approximation techniques. An elaborated example is presented.

Original language	English
Pages (from-to)	99-132
Journal	Journal of Number Theory
Volume	31
Issue number	2
DOIs	https://doi.org/10.1016/0022-314X(89)90014-0
Publication status	Published - 1989

Keywords

IR-70433

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title = "On the practical solution of the Thue equation",

abstract = "This paper gives in detail a practical general method for the explicit determination of all solutions of any Thue equation. It uses a combination of Baker's theory of linear forms in logarithms and recent computational diophantine approximation techniques. An elaborated example is presented.",

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DO - 10.1016/0022-314X(89)90014-0

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SP - 99

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JO - Journal of Number Theory

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On the practical solution of the Thue equation

Abstract

Keywords

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