The Lucas Sequences : Theory and Applications [vol. 8, 1 ed.] 9783031372384, 9783031372377

Although the Lucas sequences were known to earlier investigators such as Lagrange, Legendre and Genocchi, it is because

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English Pages xviii; 301 Year 2023

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Table of contents :
Introduction
Basic Theory of the Lucas Sequences
Applications
Some Further Properties of the Lucas Sequences
Some Properties of Lucasnomials
Cubic Extensions of the Lucas Sequences
Linear Recurrence Sequences and Further Generalizations
Divisibility Sequences and Further Generalizations
Prime Density of Companion Lucas Sequences
Epilogue and Open Problems

The Lucas Sequences : Theory and Applications [vol. 8, 1 ed.]
 9783031372384, 9783031372377

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