On a conjecture on exponential Diophantine equations
Mihai Cipu, Maurice Mignotte (2009)
Acta Arithmetica
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Displaying similar documents to “Geometrical model theory.”
On a conjecture on exponential Diophantine equations
A note on Jeśmanowicz' conjecture concerning primitive Pythagorean triplets
Maohua Le (2009)
Acta Arithmetica
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On Terai's conjecture concerning Pythagorean numbers
Maohua Le (2001)
Acta Arithmetica
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Intermediate Diophantine exponents and parametric geometry of numbers
Oleg N. German (2012)
Acta Arithmetica
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Application of the explicit abc-conjecture to two Diophantine equations
N. Saradha (2012)
Acta Arithmetica
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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.
Effective solution of the D(-1)-quadruple conjecture
Andrej Dujella, Alan Filipin, Clemens Fuchs (2007)
Acta Arithmetica
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Baker's explicit abc-conjecture and applications
Shanta Laishram, T. N. Shorey (2012)
Acta Arithmetica
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An application of a lower bound for linear forms in two logarithms to the Terai-Jeśmanowicz conjecture
Zhenfu Cao, Xiaolei Dong (2003)
Acta Arithmetica
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A note on the lonely runner conjecture.
Pandey, Ram Krishna (2009)
Journal of Integer Sequences [electronic only]
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Note on a Conjecture of Sierksma.
A. Vucic, R.T. Zivaljevic (1993)
Discrete & computational geometry
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On a few Diophantine equations, in particular, Fermat's Last Theorem.
Levesque, C. (2003)
International Journal of Mathematics and Mathematical Sciences
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On a mixed Littlewood conjecture in Diophantine approximation
Yann Bugeaud, Michael Drmota, Bernard de Mathan (2007)
Acta Arithmetica
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A Conjecture of Segre on Diophantine Approximation.
Jingcheng Tong (1991)
Monatshefte für Mathematik
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