摘要
运用数论的初等方法、数列{k1/k}的单调递减性质及单位分数的性质等知识,分情况讨论了不定方程xy+yz+zw+wr+rx=0的可解性,得到了若干整数解,但个别情况仍需进一步研究.
In this paper, we investigate the solvability of a Diophantine equation,x^y＋y^z＋z^w＋w^r＋r^x=0 by using the knowledge of elementary method of number theory, the monotone decreasing of the sequence { k^- t , and the unit fraction properties and so on. We get some integer solutions and several special cases need further study.
出处
《重庆工商大学学报（自然科学版）》
2013年第9期10-13,23,共5页
Journal of Chongqing Technology and Business University:Natural Science Edition
关键词
不定方程
初等方法
整数解
Diophantine equation
elementary method
integer solution
