%0 Journal Article %T 关于商高数的Je?manowicz猜想<br>THE JE?MANOWICZ' CONJECTURE ON PYTHAGOREAN TRIPLES %A 作者 %A 杨海 %A 任荣珍 %A 付瑞琴 %J 数学杂志 %D 2017 %X 本文研究了商高数的Je?manowicz猜想的整数解问题.利用初等数论方法,获得了该猜想的两个新结果并给出证明,推广了文献[4-8]的结果.<br>In this paper, we study the integer solutions of the Je?manowicz' conjecture on Pythagorean triples. By using some elementary number theory methods, we obtain and prove two new results for the conjecture and generalize some results of references[4-8] %K 指数diophantine方程 商高数 Je?manowicz猜想< %K br> %K exponential diophantine equation Pythagorean triple Je?manowicz' conjecture %U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20170308&flag=1