Zeckendorf representations with at most two terms to x-coordinates of Pell equations
Number Theory
2018-03-29 v1
Abstract
In this paper, we find all positive squarefree integers d such that the Pell equation X2-dY2 = +-1 has at least two positive integer solutions (X,Y) and (X',Y') such that both X and X' have Zeckendorf representations with at most two terms. This paper has been accepted for publication in SCIENCE CHINA Mathematics.
Keywords
Cite
@article{arxiv.1803.10732,
title = {Zeckendorf representations with at most two terms to x-coordinates of Pell equations},
author = {Carlos Alexis Gómez and Florian Luca},
journal= {arXiv preprint arXiv:1803.10732},
year = {2018}
}