Algebraic independence of the values of Mahler functions satisfying implicit functional equations
Bernd Greuel (2000)
Acta Arithmetica
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Bernd Greuel (2000)
Acta Arithmetica
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Alessandro Zaccagnini (1998)
Acta Arithmetica
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Ronald Joseph Burthe Jr. (1997)
Acta Arithmetica
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N. Watt (1995)
Acta Arithmetica
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C. Hooley (2000)
Acta Arithmetica
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B. M. M. de Weger, C. E. van de Woestijne (1999)
Acta Arithmetica
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Thomas Töpfer (1995)
Acta Arithmetica
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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...