On the least common multiple of Lucas subsequences
Volume 161 / 2013
Acta Arithmetica 161 (2013), 327-349
MSC: 11A05, 11B39.
DOI: 10.4064/aa161-4-2
Abstract
We compare the growth of the least common multiple of the numbers $u_{a_1},\ldots ,u_{a_n}$ and $|u_{a_1} \cdots u_{a_n}|$, where $(u_n)_{n\ge 0}$ is a Lucas sequence and $(a_n)_{n\ge 0}$ is some sequence of positive integers.
