Pell and Pell-Lucas numbers as sums of three repdigits
Number Theory
2020-10-30 v2
Abstract
In this study, we find all Pell and Pell-Lucas numbers which are sums of three base 10 repdigits. The proof of our main theorem uses lower bounds for linear forms in logarithms of algebraic numbers and a version of the Baker-Davenport reduction method.
Keywords
Cite
@article{arxiv.2009.12607,
title = {Pell and Pell-Lucas numbers as sums of three repdigits},
author = {Kisan Bhoi and Bijan Kumar Patel and Prasanta Kumar Ray},
journal= {arXiv preprint arXiv:2009.12607},
year = {2020}
}
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