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Periods of ๐'-step Fibonacci functions modulo m |
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| รหัสดีโอไอ | |
| Creator | 1. Yanapat Tongron 2. Supattra Kerdmongkon |
| Title | Periods of ๐'-step Fibonacci functions modulo m |
| Publisher | Research and Development Office, Prince of Songkla University |
| Publication Year | 2565 |
| Journal Title | Songklanakarin Journal of Science an Technology (SJST) |
| Journal Vol. | 44 |
| Journal No. | 2 |
| Page no. | 323-331 |
| Keyword | Fibonacci functions, ๐'-step Fibonacci function, primitive period modulo ๏ฟฝ |
| URL Website | https://rdo.psu.ac.th/sjst/index.php |
| ISSN | 0125-3395 |
| Abstract | For an integer ๐' โฅ 2, a ๐'-step Fibonacci function is a function ๐'": โค โ' โค defined by ๐'"(๐' + ๐') = ๐'"(๐' + ๐' โ' 1) +๐'"(๐' + ๐' โ' 2) + โฏ + ๐'"(๐') for any integer ๐'. We mainly show the existence of primitive period of a ๐'-step Fibonacci function inmodulo ๐'. Moreover, the explicit primitive period of a ๐'-step Fibonacci function, when ๐' = 2,3,4, under some conditions is alsoestablished. |
