Fundamental systems of \(S\)-units with small height and their applications to Diophantine equations (Q2707219)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fundamental systems of \(S\)-units with small height and their applications to Diophantine equations |
scientific article |
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1 April 2001
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fundamental systems of \(S\)-units
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\(S\)-unit equations
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Thue-Mahler equations
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superelliptic equations
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greatest prime factor
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greatest square free part
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survey
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0.86686546
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0.86206234
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0.85934997
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0.85469157
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0.85420847
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Fundamental systems of \(S\)-units with small height and their applications to Diophantine equations (English)
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This is a survey on recent results of the author on fundamental systems of \(S\)-units and their applications to \(S\)-unit equations, Thue-Mahler equations, superelliptic equations, on the greatest prime factor and on the greatest square free part of \(a x^m + by^n\). In the last expression \(a,b\) are nonzero integers and \(n,m \geq 2\) are integers with \(nm \geq 6\).
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