On the resolution of simultaneous Pell equations.
Szalay, László (2007)
Annales Mathematicae et Informaticae
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Displaying similar documents to “On Pillai's Diophantine equation.”
On the resolution of simultaneous Pell equations.
Parametric solutions for some Diophantine equations.
Andrica, Dorin, Tudor, Gheorghe M. (2004)
General Mathematics
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Ljunggren's Diophantine problem connected with virus structure.
Grytczuk, Aleksander (2006)
Annales Mathematicae et Informaticae
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A generalization of the question of Sierpiński on geometric progressions.
Luo, Jiagui, Yuan, Pingzhi (2010)
Journal of Integer Sequences [electronic only]
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The diophantine equation .
Utz, W.R. (1985)
International Journal of Mathematics and Mathematical Sciences
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The Diophantine equation .
Bapoungué, Lionel (2003)
International Journal of Mathematics and Mathematical Sciences
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Lucas Diophantine triples.
Luca, Florian, Szalay, László (2009)
Integers
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On Lucas and Lehmer sequences and their applications to Diophantine equations
K. Györy, P. Kiss, A. Schinzel (1981)
Colloquium Mathematicae
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On the greatest prime factor of
T. Shorey (1980)
Acta Arithmetica
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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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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.
The Diophantine equation : a brief overview.
Muriefah, Fadwa S.Abu, Bugeaud, Yann (2006)
Revista Colombiana de Matemáticas
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Diophantine equations with linear recurrences An overview of some recent progress
Umberto Zannier (2005)
Journal de Théorie des Nombres de Bordeaux
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We shall discuss some known problems concerning the arithmetic of linear recurrent sequences. After recalling briefly some longstanding questions and solutions concerning zeros, we shall focus on recent progress on the so-called “quotient problem” (resp. "-th root problem"), which in short asks whether the integrality of the values of the quotient (resp. -th root) of two (resp. one) linear recurrences implies that this quotient (resp. -th root) is itself a recurrence. We shall also...