On Diophantine equations involving Lucas sequences

Abstract

In this paper, we shall study the Diophantine equation un = R(m)P(m)Q(m), where un is a Lucas sequence and R, P and Q are polynomials (under weak assumptions).

Keywords

• p-adic order
• fibonacci number
• lucas sequence
• order of appearance
• tridiagonal matrix
• 11b37
• 11b39