高师理科学刊2025,Vol.45Issue(7):1-3,3.DOI:10.3969/j.issn.1007-9831.2025.07.001
不定方程∑si=1x5i=∑si=1y2i(s=2,3)及x5+y5=D2z的整数解
Integer solutions of the Diophantine equation ∑si=1x5i=∑si=1y5i(s=2,3)and x5+y5=D2z
摘要
Abstract
This paper gives the integer solutions of Diophantine equation x51+x52=y21+y22,x51+x52+x53=y21+y22+y23,and two kinds of integer solutions of Diophantine equation x5+y5=Dz2.关键词
五次方数/平方数/不定方程/整数解Key words
quintuple number/square number/Diophantine equation/integer solution分类
数理科学引用本文复制引用
杨雅琴..不定方程∑si=1x5i=∑si=1y2i(s=2,3)及x5+y5=D2z的整数解[J].高师理科学刊,2025,45(7):1-3,3.基金项目
2022年度黑龙江省属高等学校基本科研业务项目(145209410) (145209410)