Solutions for a Class of the Higher Diophantine Equation

被引：0

作者：

Ran Yin-xia ^{[1
]}

机构：

[1] Longnan Teachers Coll, Dept Math, Longnan 742500, Peoples R China

来源：

PROCEEDINGS OF THE 2013 INTERNATIONAL CONFERENCE ON ADVANCED COMPUTER SCIENCE AND ELECTRONICS INFORMATION (ICACSEI 2013) | 2013年 / 41卷

关键词：

Higher Diophantine equation; integer solutions; integer ring; algebraic number theroy;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

We studied the Diophantine equation 294nxy... By using the elementary method and algebaic number theroy, we obtain the following concusions: (i) Let x be an odd number, one necessary condition which the equation has integer solutions is that (28n)-1/3 contains some square factors. (ii) Let x be an even number, when n= 9k(k >= 1), all integer solutions for the equation are 0,4 = kxy when 940nkk, all integer solutions are(9421,2,2 kkxy when 1,2,3,5,6,7,8 (mod 9). the equation has no integer solution.

引用

页码：7 / 9

页数：3