Two equations for linear recurrence sequences
V. Losert (2005)
Acta Arithmetica
Similarity:
Displaying similar documents to “On Lucas and Lehmer sequences and their applications to Diophantine equations”
Two equations for linear recurrence sequences
Parametric solutions for some Diophantine equations.
Andrica, Dorin, Tudor, Gheorghe M. (2004)
General Mathematics
Similarity:
On the resolution of simultaneous Pell equations.
Szalay, László (2007)
Annales Mathematicae et Informaticae
Similarity:
Some applications of linear forms in logarithms
T. N. Shorey (1975-1976)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
Similarity:
Diophantine equation for four prime divisors of
Zdeněk Polický (2005)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
In this paper the special diophantine equation with integer coefficients is discussed and integer solutions are sought. This equation is solved completely just for four prime divisors of .
Ljunggren's Diophantine problem connected with virus structure.
Grytczuk, Aleksander (2006)
Annales Mathematicae et Informaticae
Similarity:
Squares in Lehmer sequences and the Diophantine equation Ax⁴ - By² = 2
Pingzhi Yuan, Yuan Li (2009)
Acta Arithmetica
Similarity:
A generalization of the question of Sierpiński on geometric progressions.
Luo, Jiagui, Yuan, Pingzhi (2010)
Journal of Integer Sequences [electronic only]
Similarity:
On the Diophantine equation (x² ± C)(y² ± D) = z⁴
Pingzhi Yuan, Jiagui Luo (2010)
Acta Arithmetica
Similarity:
The Diophantine equation : a brief overview.
Muriefah, Fadwa S.Abu, Bugeaud, Yann (2006)
Revista Colombiana de Matemáticas
Similarity:
Diophantine equations with products of consecutive terms in Lucas sequences II
Florian Luca, T. N. Shorey (2008)
Acta Arithmetica
Similarity:
On the Diophantine equation x² - dy⁴ = 1 with prime discriminant II
D. Poulakis, P. G. Walsh (2006)
Colloquium Mathematicae
Similarity:
Let p denote a prime number. P. Samuel recently solved the problem of determining all squares in the linear recurrence sequence {Tₙ}, where Tₙ and Uₙ satisfy Tₙ² - pUₙ² = 1. Samuel left open the problem of determining all squares in the sequence {Uₙ}. This problem was recently solved by the authors. In the present paper, we extend our previous joint work by completely solving the equation Uₙ = bx², where b is a fixed positive squarefree integer. This result also extends previous work...
Parametric Solutions of the Diophantine Equation A² + nB⁴ = C³
Susil Kumar Jena (2014)
Bulletin of the Polish Academy of Sciences. Mathematics
Similarity:
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.