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arXiv · 0708.2190

Primitive Divisors of some Lehmer-Pierce Sequences

Anthony Flatters
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Abstract

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.

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Anthony Flatters. 2007-08-16. Primitive Divisors of some Lehmer-Pierce Sequences. https://arxiv.org/abs/0708.2190

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