Primitive Divisors of some Lehmer-Pierce Sequences
Abstract
Description
We study the primitive divisors of the terms of $(Δ_n)_{n \geq 1}$, where $Δ_n=N_{K/ \mathbb{Q}}(u^n-1)$ for $K$ a real quadratic field, and $u>1$ a unit element of its ring of integers. The methods used allow us to find the terms of the sequence that do not have a primitive prime divisor.
10 pages
10 pages