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• W2123442989 abstract "We consider the family of relative Thue equations x3− (t− 1)x2y− (t+ 2)xy2−y3= μ,where the parameter t, the root of unityμ and the solutions x and y are integers in the same imaginary quadratic number field. We prove that there are only trivial solutions (with x, y ≤ 1), if t is large enough or if the discriminant of the quadratic number field is large enough or ifRet = − 1 / 2 (there are a few more solutions in this case which are explicitly listed). In the caseRet = − 1 / 2, an algebraic method is used, in the general case, Baker’s method yields the result." @default.
• W2123442989 created "2016-06-24" @default.
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• W2123442989 creator A5065048731 @default.
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• W2123442989 date "2002-11-01" @default.
• W2123442989 modified "2023-10-18" @default.
• W2123442989 title "Thomas’ Family of Thue Equations Over Imaginary Quadratic Fields" @default.
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• W2123442989 doi "https://doi.org/10.1006/jsco.2002.0568" @default.
• W2123442989 hasPublicationYear "2002" @default.
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