The Lucas Sequences Theory and Applications /
Although the Lucas sequences were known to earlier investigators such as Lagrange, Legendre and Genocchi, it is because of the enormous number and variety of results involving them, revealed by Édouard Lucas between 1876 and 1880, that they are now named after him. Since Lucas’ early work, much more...
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| Autori principali: | , |
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| Ente Autore: | |
| Natura: | Elettronico eBook |
| Lingua: | inglese |
| Pubblicazione: |
Cham :
Springer International Publishing : Imprint: Springer,
2023.
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| Edizione: | 1st ed. 2023. |
| Serie: | CMS/CAIMS Books in Mathematics,
8 |
| Soggetti: | |
| Accesso online: | https://doi.org/10.1007/978-3-031-37238-4 |
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Sommario:
- 1. Introduction
- 2. Basic theory of Lucas sequences
- 3. Applications
- 4. Further Properties
- 5. Some Properties of Lucasnomials
- 6. Cubic Extensions of the Lucas Sequences
- 7. Linear Recurrence Sequences and Further Generalizations
- 8. Divisibility Sequences and Further Generalizations
- 9. Prime Density of Companion Lucas Sequences
- 10. Epilogue and Open Problems. .