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On the Intersections of Fibonacci, Pell, and Lucas Numbers

On the intersections of Fibonacci, Pell, and Lucas numbers
Authors: Max A. Alekseyev;

On the Intersections of Fibonacci, Pell, and Lucas Numbers

Abstract

AbstractWe describe how to compute the intersection of two Lucas sequences of the forms

Keywords

Lucas sequences, Pell equations, FOS: Computer and information sciences, Mathematics - Number Theory, Discrete Mathematics (cs.DM), Calculation of integer sequences, Cubic and quartic Diophantine equations, Fibonacci numbers, Computer Science - Data Structures and Algorithms, Thue equations, FOS: Mathematics, Fibonacci and Lucas numbers and polynomials and generalizations, Data Structures and Algorithms (cs.DS), Number Theory (math.NT), Diophantine equations in many variables, Computer solution of Diophantine equations, Quadratic and bilinear Diophantine equations, Computer Science - Discrete Mathematics

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    12
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
12
Top 10%
Top 10%
Average
Green
bronze