Solutions of the Diophantine Equation px

被引：0
|
作者：
Siraworakun, Apirat [1 ]
Tadee, Suton [1 ]
机构：
[1] Thepsatri Rajabhat Univ, Fac Sci & Technol, Dept Math, Lopburi 15000, Thailand
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE | 2023年 / 18卷 / 01期
关键词：
Diophantine equation; Catalan's conjecture;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we study the Diophantine equation p(x) + q(y) = z(2) with p, q > 3 and p, q equivalent to 3 (mod 4) and x, y, z are non-negative integers. We give some conditions for the non-existing of non-negative integer solutions and show all solutions for x = 1. Moreover, we apply our results to investigate the solutions of the Diophantine equation p(x) + 11(y) = z(2).
引用
收藏
页码：131 / 136
页数：6
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