Zsigmondy's theorem and primitive divisors of the Lucas and Lehmer sequences in polynomial rings

Abstract

In this paper, we obtain analogues of Zsigmondy's theorem and the primitive divisor results for the Lucas and Lehmer sequences in polynomial rings of several variables.

14 pages

References in corpus (4)

• Primitive divisors of elliptic divisibility sequences
• Primitive Divisors in Arithmetic Dynamics
• Algebraic divisibility sequences over function fields
• Polynomial Zsigmondy theorems