Zero estimates for polynomials in 3 and 4 variables using orbits and stabilisers (Q2715544)
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scientific article; zbMATH DE number 1607973
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Zero estimates for polynomials in 3 and 4 variables using orbits and stabilisers |
scientific article; zbMATH DE number 1607973 |
Statements
7 June 2002
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zero-lemma
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lower bounds of linear forms
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three logarithms of algebraic numbers
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Schneider's method
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Catalan's equation
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0.8800061
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0.87650925
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0.87360764
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0.87331164
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0.87325585
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0.87190527
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0.87186646
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Zero estimates for polynomials in 3 and 4 variables using orbits and stabilisers (English)
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The content of this paper is a zero-lemma to obtain good lower bounds of linear forms in three logarithms of algebraic numbers, in the case of Schneider's method (i.e., without multiplicities). The method uses ideas of Wüstholz but with technical refinements. NEWLINENEWLINENEWLINEThe main motivation of the authors is Catalan's equation where linear forms in three logarithms play a crucial role to obtain absolute bounds for the exponents (Tijdeman, 1976).NEWLINENEWLINEFor the entire collection see [Zbl 0955.00034].
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