Calculs sur des suites récurrentes linéaires
The purpose of this paper is to prove that the common terms of linear recurrences and have at most common terms if , and have at most three common terms if where and are fixed positive integers and is a prime, such that neither nor is perfect square, further are nonzero integers satisfying the equations and .
We continue the investigation of convolutions of second order linear recursive sequences (see the first part in [1]). In this paper, we focus on the case when the characteristic polynomials of the sequences have common root.