作为等差数列平方和的完全幂
数论
2019-12-23 v2
摘要
本文中，我们确定了方程 在 且 下的所有本原解。我们利用了因式分解论证以及Bilu、Hanrot和Voutier所述的本原因子定理。
引用
@article{arxiv.1809.09167,
title = {Perfect Powers that are Sums of Squares of an Arithmetic Progression},
author = {Debanjana Kundu and Vandita Patel},
journal= {arXiv preprint arXiv:1809.09167},
year = {2019}
}
备注
18 pages, 3 tables In this version, we substantially improve Theorem 1.3 from the previous version in order to solve the case $d=6$ and $1 \leq r \leq 10^4$. We are now able to record Theorems 1.1, 1.2 and 1.3 from the previous version in one concise theorem