Periods of Tribonacci sequences and elliptic curves
We will study the periods of Tribonacci sequences associated to elliptic curves. This work is motivated by a paper of Coleman et al. who did it for classical Fibonacci sequences. We are convinced that similar results modulo a deeper work are accessible. Our aim is to explore the Tribonacci case.
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2018 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2018
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/188343 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Periods of Tribonacci sequences and elliptic curves / L. AIt-Amrane, H. Belbachir // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 1. — С. 1-17. — Бібліогр.: 16 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862725554450464768 |
|---|---|
| author | AIt-Amrane, L. Belbachir, H. |
| author_facet | AIt-Amrane, L. Belbachir, H. |
| citation_txt | Periods of Tribonacci sequences and elliptic curves / L. AIt-Amrane, H. Belbachir // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 1. — С. 1-17. — Бібліогр.: 16 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | We will study the periods of Tribonacci sequences associated to elliptic curves. This work is motivated by a paper of Coleman et al. who did it for classical Fibonacci sequences. We are convinced that similar results modulo a deeper work are accessible. Our aim is to explore the Tribonacci case.
|
| first_indexed | 2025-12-07T18:53:15Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188343 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T18:53:15Z |
| publishDate | 2018 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | AIt-Amrane, L. Belbachir, H. 2023-02-23T19:12:57Z 2023-02-23T19:12:57Z 2018 Periods of Tribonacci sequences and elliptic curves / L. AIt-Amrane, H. Belbachir // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 1. — С. 1-17. — Бібліогр.: 16 назв. — англ. 1726-3255 2010 MSC: Primary 11B50; Secondary 11G05, 11A07, 11A41, 11B37, 11B39. https://nasplib.isofts.kiev.ua/handle/123456789/188343 We will study the periods of Tribonacci sequences associated to elliptic curves. This work is motivated by a paper of Coleman et al. who did it for classical Fibonacci sequences. We are convinced that similar results modulo a deeper work are accessible. Our aim is to explore the Tribonacci case. The authors would like to thank the anonymous reviewer for valuable remarks and suggestions to improve the original manuscript. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Periods of Tribonacci sequences and elliptic curves Article published earlier |
| spellingShingle | Periods of Tribonacci sequences and elliptic curves AIt-Amrane, L. Belbachir, H. |
| title | Periods of Tribonacci sequences and elliptic curves |
| title_full | Periods of Tribonacci sequences and elliptic curves |
| title_fullStr | Periods of Tribonacci sequences and elliptic curves |
| title_full_unstemmed | Periods of Tribonacci sequences and elliptic curves |
| title_short | Periods of Tribonacci sequences and elliptic curves |
| title_sort | periods of tribonacci sequences and elliptic curves |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188343 |
| work_keys_str_mv | AT aitamranel periodsoftribonaccisequencesandellipticcurves AT belbachirh periodsoftribonaccisequencesandellipticcurves |