Integer solutions of $a^2+ab+b^2=7^n$
Number Theory
2021-04-20 v1 Combinatorics
Abstract
In this article we will show different proofs for the fact that there exist relatively prime positive integers such that: .
Keywords
Cite
@article{arxiv.2104.08932,
title = {Integer solutions of $a^2+ab+b^2=7^n$},
author = {Tien Nam Le and Tung Tho Nguyen},
journal= {arXiv preprint arXiv:2104.08932},
year = {2021}
}
Comments
This article is written during the REU program at Vietnam National University in 2013. We do not plan to submit it for publication. However, as some other mathematicians recently cited this work, we upload it to Arxiv to make it more official