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 $b$.

DOI

10.3906/mat-1705-116

Keywords

Lucas sequence, periodicity, rank of apparition, $p$-adic order

First Page

1566

Last Page

1570

Recommended Citation

RAY, P. K, IRMAK, N, & PATEL, B. K (2018). The rank of apparition of powers of Lucas sequence. Turkish Journal of Mathematics 42 (4): 1566-1570. https://doi.org/10.3906/mat-1705-116

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