On the multiplicity in Pillai's problem with Fibonacci numbers and powers of a fixed prime
| Autor: | Batte, Herbert, Ddamulira, Mahadi, Kasozi, Juma, Luca, Florian |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Glasnik Matematicki, 2022 |
| Druh dokumentu: | Working Paper |
| Popis: | Let $ \{F_n\}_{n\ge 0} $ be the sequence of Fibonacci numbers and let $p$ be a prime. For an integer $c$ we write $m_{F,p}(c)$ for the number of distinct representations of $c$ as $F_k-p^\ell$ with $k\ge 2$ and $\ell\ge 0$. We prove that $m_{F,p}(c)\le 4$. Comment: Accepted to appear in Glasnik Matematicki, 17 pages |
| Databáze: | arXiv |
| Externí odkaz: |
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