On the number of solutions of simultaneous Pell equations II
Michael A. Bennett, Mihai Cipu, Maurice Mignotte, Ryotaro Okazaki (2006)
Acta Arithmetica
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Michael A. Bennett, Mihai Cipu, Maurice Mignotte, Ryotaro Okazaki (2006)
Acta Arithmetica
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Pingzhi Yuan (2004)
Acta Arithmetica
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Muriefah, Fadwa S.Abu, Bugeaud, Yann (2006)
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Pingzhi Yuan (2002)
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K. Györy, P. Kiss, A. Schinzel (1981)
Colloquium Mathematicae
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Umberto Zannier (2003)
Acta Arithmetica
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Nikolay Moshchevitin (2014)
Acta Arithmetica
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We prove a result on approximations to a real number θ by algebraic numbers of degree ≤ 2 in the case when we have certain information about the uniform Diophantine exponent ω̂ for the linear form x₀ + θx₁ + θ²x₂.
Szalay, László (2007)
Annales Mathematicae et Informaticae
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Utz, W.R. (1985)
International Journal of Mathematics and Mathematical Sciences
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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.
W. J. Ellison (1970-1971)
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Yu. F. Bilu, M. Kulkarni, B. Sury (2004)
Acta Arithmetica
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Grytczuk, Aleksander (2006)
Annales Mathematicae et Informaticae
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Pingzhi Yuan, Jiagui Luo (2010)
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Alan Filipin (2009)
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Mihai Cipu (1997)
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Robert Tijdeman (1974-1975)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
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