The rational points close to a curve III
M. N. Huxley (2004)
Acta Arithmetica
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Displaying similar documents to “Statistics of lattice points in thin annuli for generic lattices.”
The rational points close to a curve III
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.
Parametrizing SL₂(ℤ) and a question of Skolem
Umberto Zannier (2003)
Acta Arithmetica
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The Diophantine equation : a brief overview.
Muriefah, Fadwa S.Abu, Bugeaud, Yann (2006)
Revista Colombiana de Matemáticas
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The simultaneous Pell equations y²-Dz² = 1 and x²-2Dz² = 1
Xiaolei Dong, W. C. Shiu, C. I. Chu, Zhenfu Cao (2007)
Acta Arithmetica
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On simultaneous diophantine equations
Shin-ichi Katayama, Claude Levesque (2003)
Acta Arithmetica
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An irregular D(4)-quadruple cannot be extended to a quintuple
Alan Filipin (2009)
Acta Arithmetica
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Effective solution of the D(-1)-quadruple conjecture
Andrej Dujella, Alan Filipin, Clemens Fuchs (2007)
Acta Arithmetica
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On a Diophantine problem of Bennett
Yang Hai, P. G. Walsh (2010)
Acta Arithmetica
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A note on the diophantine equation a²x⁴ - By² = 1
Jianhua Chen (2001)
Acta Arithmetica
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On a Diophantine equation involving factorials.
Ernst, Bruno (1996)
General Mathematics
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On the diophantine equation f (x, y) = 0.
H. Kleiman (1976)
Journal für die reine und angewandte Mathematik
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The diophantine equation .
Utz, W.R. (1985)
International Journal of Mathematics and Mathematical Sciences
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Positive solutions of the Diophantine equation.
Utz, W.R. (1982)
International Journal of Mathematics and Mathematical Sciences
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Simultaneous Pell equations
Pingzhi Yuan (2004)
Acta Arithmetica
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Diophantine Equations with at most one positive solution.
Mihai Cipu (1997)
Manuscripta mathematica
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On a problem of Diophantus
Katalin Gyarmati (2001)
Acta Arithmetica
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Recipes for Solving Diophantine Problems by Baker's Method
W. J. Ellison (1970-1971)
Séminaire de théorie des nombres de Bordeaux
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Parametric Solutions of the Diophantine Equation A² + nB⁴ = C³
Susil Kumar Jena (2014)
Bulletin of the Polish Academy of Sciences. Mathematics
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The Diophantine equation A² + nB⁴ = C³ has infinitely many integral solutions A, B, C for any fixed integer n. The case n = 0 is trivial. By using a new polynomial identity we generate these solutions, and then give conditions when the solutions are pairwise co-prime.