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7维广义马尔科夫方程的解
引用本文:高山珍,李俊红,等.7维广义马尔科夫方程的解[J].贵州教育学院学报,2000,11(2):30-33.
作者姓名:高山珍  李俊红
作者单位:[1]石家庄铁道学院基础科学部,河北石家庄050043 [2]河北师范大学计算机科学系,河北石家庄050016
摘    要:证明了7维广义马尔科夫方程x^21 x^22 x^23 x^24 x^26 x^27=kx1x2x3x4x5x6x7(*)当k=1,2,3,5,7时有解(指正整数解,不同);给出了k=4,6时7维广义马尔科夫方程的一些性质。

关 键 词:不定方程  7维广义马尔科夫方程  正整数解

A solution to the 7-dimensional generalized Marlkof equation
GAO Shan-zhen,LI Jun-hong,XIE Jian-jun Fundamental Sciences.A solution to the 7-dimensional generalized Marlkof equation[J].Journal of Guizhou Educational College(Social Science Edition),2000,11(2):30-33.
Authors:GAO Shan-zhen  LI Jun-hong  XIE Jian-jun Fundamental Sciences
Institution:GAO Shan-zhen;LI Jun-hong;XIE Jian-jun Fundamental Sciences Department of Shijiazhang Railway Institute 050043; Department of Computer Science Hebei Normal University 0500l6 China
Abstract:This article proves that the 7-dimensional generalized Morlkof equation x_1~2 x_2~2 x_3~2 x_4~2 x_5~2 x_6~2 x_7~2=kx_1x_2x_3x_4x_5x_6x_7 has solutions only when k=1, 2, 3, 5, 7. andgives some properties when k=4, 6.
Keywords:indeterminate equation  generalized Morlkof equation
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