On the GCD-s of k consecutive terms of Lucas sequences

Lajos Hajdu, Márton Szikszai

Type: Article

Publication Date: 2012-08-13

Citations: 9

DOI: https://doi.org/10.1016/j.jnt.2012.05.022

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Locations

Journal of Number Theory - View
DEA (University of Debrecen) - View - PDF

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+ PDF Chat	The GCD Sequences of the Altered Lucas Sequences	2020	Fikri Köken
+	Extending a Theorem of Pillai to Quadratic Sequences.	2015	Joshua Harrington Lenny Jones
+	On common factors within a series of consecutive terms of an elliptic divisibility sequence	2014	Lajos Hajdu Márton Szikszai
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+	Distinct Products in Lucas Sequences – on a Problem of Kimberling	2017	Márton Szikszai
+ PDF Chat	A coprimality condition on consecutive values of polynomials	2017	Carlo Sanna Márton Szikszai
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Works Cited by This (49)

Action	Title	Year	Authors
+ PDF Chat	On a property of 𝑘 consecutive integers	1941	Alfred Brauer
+ PDF Chat	Pillai’s Problem on Consecutive Integers	2009	N. Saradha R. Thangadurai
+ PDF Chat	On a conjecture of Morgan Ward, III	1977	K. Kubota
+ PDF Chat	Unsolved Problems in Number Theory	1994	Richard K. Guy
+	Exponential Diophantine Equations	1986	T. N. Shorey R. Tijdeman
+	A Characterization of the Second-Order Strong Divisibility Sequences	1985	Pavel Horák Ladislav Skula
+	Diophantine equations with products of consecutive terms in Lucas sequences	2004	Florian Luca T. N. Shorey
+ PDF Chat	Linear divisibility sequences	1937	Morgan Ward
+ PDF Chat	A note on recurring series	1953	Christer Lech
+	On the multiplicity of linear recurrence sequences	2007	Patrick B. Allen