Squares in Lehmer sequences and some Diophantine applications
Squares in Lehmer sequences and some Diophantine applications
I. Introduction.In his seminal paper [6], extending the theory of Lucas functions, D. H. Lehmer studied a wide class of sequences, which are commonly referred to as Lehmer sequences.Let L > 0 and M be rational integers such that L -4M > 0 and (L, M ) = 1.Let α …