English

On Squares in Lucas Sequences

Number Theory 2013-09-04 v1

Abstract

In this short paper, we prove, by only using elementary tools, general cases when Un(P,Q)U_n(P,Q) \neq \square, where Un(P,Q)U_n(P,Q) is the Lucas sequence of the first type.

Cite

@article{arxiv.1309.0744,
  title  = {On Squares in Lucas Sequences},
  author = {Francesca Balestrieri},
  journal= {arXiv preprint arXiv:1309.0744},
  year   = {2013}
}
R2 v1 2026-06-22T01:19:53.009Z