Primitive Divisors of some Lehmer-Pierce Sequences

Details Primitive Divisors of some Lehmer-Pierce Sequences Primitive Divisors of some Lehmer-Pierce Sequences

2007-08-16

arxiv.org/abs/0708.2190v1

Mathematics

Number Theory

10 pages

Scientific paper

We study the primitive divisors of the terms of $(\Delta_n)_{n \geq 1}$,
where $\Delta_n=N_{K/ \mathbb{Q}}(u^n-1)$ 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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