Power multiples in binary recurrence sequences: an approach by congruences
Number Theory
2010-09-28 v1
Abstract
We introduce an elementary congruence-based procedure to look for q-th power multiples in arbitrary binary recurrence sequences (q>2). The procedure allows to prove that no such multiples exist in many instances.
Cite
@article{arxiv.1009.5092,
title = {Power multiples in binary recurrence sequences: an approach by congruences},
author = {Teresa Boggio and Andrea Mori},
journal= {arXiv preprint arXiv:1009.5092},
year = {2010}
}
Comments
This is a full version (12 tables of computational data) of the paper submitted to the Rendiconti del Seminario Matematico of the University and Polytechnic of Turin