Publication: P-ADIC valuation of Lucas iteration sequences
| dc.contributor.author | Chatchawan Panraksa | en_US |
| dc.contributor.author | Aram Tangboonduangjit | en_US |
| dc.contributor.other | Mahidol University | en_US |
| dc.date.accessioned | 2019-08-23T11:29:39Z | |
| dc.date.available | 2019-08-23T11:29:39Z | |
| dc.date.issued | 2018-11-01 | en_US |
| dc.description.abstract | © 2018 The Fibonacci Association. All rights reserved. This work generalizes results on exact divisibility of powers of the Fibonacci number Fkn into another Fibonacci number Gk(n) defined iteratively by G1(n) = Fn and Gk(n) = FnGk-1(n) for k ≥ 2. In particular, we prove analogous results on nondegenerate Lucas sequences by providing explicit formulas for p-adic valuation of iterative terms in these sequences. The proof makes use of recent results by Sanna regarding the p-adic valuation of Lucas sequences. | en_US |
| dc.identifier.citation | Fibonacci Quarterly. Vol.56, No.4 (2018), 348-353 | en_US |
| dc.identifier.issn | 00150517 | en_US |
| dc.identifier.other | 2-s2.0-85058052094 | en_US |
| dc.identifier.uri | https://repository.li.mahidol.ac.th/handle/20.500.14594/46094 | |
| dc.rights | Mahidol University | en_US |
| dc.rights.holder | SCOPUS | en_US |
| dc.source.uri | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85058052094&origin=inward | en_US |
| dc.subject | Mathematics | en_US |
| dc.title | P-ADIC valuation of Lucas iteration sequences | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| mu.datasource.scopus | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85058052094&origin=inward | en_US |