On Terai's conjecture concerning Pythagorean numbers

Maohua Le

Displaying similar documents to “On Terai's conjecture concerning Pythagorean numbers”

On a conjecture on exponential Diophantine equations

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On the exponential Diophantine equations of the form $a^{x} - b^{y} c^{z} = \pm 1$ .

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Application of the explicit abc-conjecture to two Diophantine equations

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A note on Jeśmanowicz' conjecture concerning primitive Pythagorean triplets

Maohua Le (2009)

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Solving an exponential Diophantine equation

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Yu. F. Bilu, M. Kulkarni, B. Sury (2004)

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Note on J. H. E. Cohn's paper "The Diophantine equation xⁿ = Dy² + 1"

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Effective solution of the D(-1)-quadruple conjecture

Andrej Dujella, Alan Filipin, Clemens Fuchs (2007)

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On the diophantine equation x(x-1)...(x-(m-1)) = λy(y-1 )...(y-(n-1)) + l

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Diophantine Equations in Low Dimensions

Enrico Bombieri (2000)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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This lecture is a survey of recent results in the theory of diophantine equations, especially for dimension 1. The unit equation and its generalizations are examined in detail, as well as Baker's theory and the consequences of the abc-conjecture.

The Diophantine equation xⁿ = Dy² + 1

J. H. E. Cohn (2003)

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Diophantine equations after Fermat’s last theorem

Samir Siksek (2009)

Journal de Théorie des Nombres de Bordeaux

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These are expository notes that accompany my talk at the 25th Journées Arithmétiques, July 2–6, 2007, Edinburgh, Scotland. I aim to shed light on the following two questions: (i) Given a Diophantine equation, what information can be obtained by following the strategy of Wiles’ proof of Fermat’s Last Theorem? ...