Displaying similar documents to “Corrigendum to the paper 'Constants for lower bounds for linear forms in the logarithms of algebraic numbers II. The homogeneous rational case' (Acta Arith. 55 (1990), 15-22)”

Upper bounds for the degrees of decomposable forms of given discriminant

K. Győry (1994)

Acta Arithmetica

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1. Introduction. In our paper [5] a sharp upper bound was given for the degree of an arbitrary squarefree binary form F ∈ ℤ[X,Y] in terms of the absolute value of the discriminant of F. Further, all the binary forms were listed for which this bound cannot be improved. This upper estimate has been extended by Evertse and the author [3] to decomposable forms in n ≥ 2 variables. The bound obtained in [3] depends also on n and is best possible only for n = 2. The purpose of the present paper...

Linear forms in two logarithms and interpolation determinants

Michel Laurent (1994)

Acta Arithmetica

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1. Introduction. Our aim is to test numerically the new method of interpolation determinants (cf. [2], [6]) in the context of linear forms in two logarithms. In the recent years, M. Mignotte and M. Waldschmidt have used Schneider's construction in a series of papers [3]-[5] to get lower bounds for such a linear form with rational integer coefficients. They got relatively precise results with a numerical constant around a few hundreds. Here we take up Schneider's method again in...