English

On a variant of Pillai's problem II

Number Theory 2017-05-12 v2

Abstract

In this paper, we show that there are only finitely many cc such that the equation UnVm=cU_n - V_m = c has at least two distinct solutions (n,m)(n,m), where {Un}n0\{U_n\}_{n\geq 0} and {Vm}m0\{V_m\}_{m\geq 0} are given linear recurrence sequences.

Keywords

Cite

@article{arxiv.1610.06304,
  title  = {On a variant of Pillai's problem II},
  author = {Kwok Chi Chim and István Pink and Volker Ziegler},
  journal= {arXiv preprint arXiv:1610.06304},
  year   = {2017}
}