On Diophantine equations with Fibonacci and Lucas sequences associated to Hardy-Ramanujan problem
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866929227823054848 |
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| author | Daşdemir, Ahmet |
| author_facet | Daşdemir, Ahmet |
| contents | In this paper, we deal with Diophantine equations $N = {F_k}^3 + {F_\ell }^3 = {F_m}^3 + {F_n}^3$ and $M = {L_k}^3 + {L_\ell }^3 = {L_m}^3 + {L_n}^3$. In other words, we discover the Fibonacci and Lucas numbers that are also Hardy-Ramanujan numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_07986 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On Diophantine equations with Fibonacci and Lucas sequences associated to Hardy-Ramanujan problem Daşdemir, Ahmet Number Theory 11D61, 11J86, 11B39 In this paper, we deal with Diophantine equations $N = {F_k}^3 + {F_\ell }^3 = {F_m}^3 + {F_n}^3$ and $M = {L_k}^3 + {L_\ell }^3 = {L_m}^3 + {L_n}^3$. In other words, we discover the Fibonacci and Lucas numbers that are also Hardy-Ramanujan numbers. |
| title | On Diophantine equations with Fibonacci and Lucas sequences associated to Hardy-Ramanujan problem |
| topic | Number Theory 11D61, 11J86, 11B39 |
| url | https://arxiv.org/abs/2312.07986 |