The rank of apparition of powers of Lucas sequence
Authors : Prasanta Kumar Ray, Nurettin Irmak, Bijan Kumar Patel
Pages : 1566-1570
View : 8 | Download : 6
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :This note is devoted to studying the divisibility relation $u_{n}^{k+1}|u_{m}$ for a least positive integer $m$, where $\{u_{n}\}_{n \geq 0}$ is a nondegenerate Lucas sequence with characteristic polynomial $x^{2}-ax - b,$ for some relatively prime integers $a$ and $b$.Keywords : Lucas sequence, periodicity, rank of apparition, $p$-adic order