海南师范大学学报(自然科学版)Issue(4):386-388,3.
关于丢番图方程px4-(p-2)y2=2z4
Study of Diophantine Equation px4-(p-2)y2=2z4
王义锦 1佟瑞洲2
作者信息
- 1. 建平县高级中学,辽宁 建平 122400
- 2. 朝阳师范高等专科学校,辽宁 朝阳 122000
- 折叠
摘要
Abstract
When p=Q2+2, p is odd prime, we give all positive integer solutions to the Diophantine equation px4-(p-2)y2=2z4 by the elementary methods. Thereby we expanded the result of equation ax4+by4=cz2 which was studied by Mordell etc.关键词
丢番图方程/正整数解/两两互素Key words
diophantine equation/positive integer solution/prime to each other分类
数理科学引用本文复制引用
王义锦,佟瑞洲..关于丢番图方程px4-(p-2)y2=2z4[J].海南师范大学学报(自然科学版),2014,(4):386-388,3.