On Terai's conjecture concerning Pythagorean numbers
Maohua Le (2001)
Acta Arithmetica
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Maohua Le (2001)
Acta Arithmetica
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Mihai Cipu, Maurice Mignotte (2009)
Acta Arithmetica
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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.
Andrej Dujella, Alan Filipin, Clemens Fuchs (2007)
Acta Arithmetica
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J. H. E. Cohn (2003)
Acta Arithmetica
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Maohua Le (2009)
Acta Arithmetica
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N. Saradha, T. N. Shorey (2001)
Acta Arithmetica
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Yu. F. Bilu, M. Kulkarni, B. Sury (2004)
Acta Arithmetica
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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:
E. Herrmann, I. Járási, A. Pethő (2004)
Acta Arithmetica
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Acu, Dumitru (2001)
General Mathematics
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Binzhou Xia, Tianxin Cai (2011)
Acta Arithmetica
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Mario Huicochea (2010)
Acta Arithmetica
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Csaba Rakaczki (2003)
Acta Arithmetica
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Muriefah, Fadwa S.Abu, Bugeaud, Yann (2006)
Revista Colombiana de Matemáticas
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Umberto Zannier (2003)
Acta Arithmetica
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Alan Filipin (2009)
Acta Arithmetica
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