关于丢番图方程 N X^2 + 2^L 3^M = Y^N
数论
2014-04-18 v2
摘要
我们证明了丢番图方程 N X^2 + 2^L 3^M = Y^N 在正整数范围内无解 (N,X,Y,L,M)，其中 N > 1 且 gcd(NX,Y) = 1。这一结果推广了 Luca、Wang 和 Wang，以及 Luca 和 Soydan 的研究成果。我们的证明利用了 Bilu、Hanrot 和 Voutier 关于缺陷 Lehmer 对的结果。
引用
@article{arxiv.1304.6413,
title = {On the Diophantine equation N X^2 + 2^L 3^M = Y^N},
author = {Eva G. Goedhart and Helen G. Grundman},
journal= {arXiv preprint arXiv:1304.6413},
year = {2014}
}
备注
"This is the author's version of a work that was accepted for publication in Journal of Number Theory. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication."