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

页码：131 / 136

页数：6