English

On numbers $n$ dividing the $n$th term of a linear recurrence

Number Theory 2011-02-02 v2

Abstract

Here, we give upper and lower bounds on the count of positive integers nxn\le x dividing the nnth term of a nondegenerate linearly recurrent sequence with simple roots.

Keywords

Cite

@article{arxiv.1010.4544,
  title  = {On numbers $n$ dividing the $n$th term of a linear recurrence},
  author = {Juan Jose Alba Gonzalez and Florian Luca and Carl Pomerance and Igor Shparlinski},
  journal= {arXiv preprint arXiv:1010.4544},
  year   = {2011}
}