| 关于方程multiply from i=1 to k(x_i~(x_i))=Z~Z的奇数解 |
| |
| 引用本文： | 姚兆栋. 关于方程multiply from i=1 to k(x_i~(x_i))=Z~Z的奇数解[J]. 湖北大学学报(自然科学版), 1988, 0(3) |
| |
| 作者姓名： | 姚兆栋 |
| |
| 作者单位： | 湖北大学空军雷达学院 |
| |
| 摘 要： | 柯召、孙琦在[2]中研究了方程multiply from i=1 to k (x_i~xi)=Z~z 当(x_1,x2,……x_k,z)>1时,对任意的k,方程(2)都有无穷多个整数解(偶数解)、对特殊的某些k,证明了方程(2)有奇数解。本文将证明当k>3,(k=4,5,……)的所有k,方程(2)都有奇数解,同时本文的定理3将给出方程(2)的新整数解(偶数解),不难看出,它包含了[2],[3]中得到的偶数解。
|
| 关 键 词： | 整数解 奇(偶)数解 |
ON THE ODD INTEGRAL SOLUTIONS OF THE EGUATION multiply from i=1 to k(x_i~(x_i))=Z~Z |
| |
| Yao Zhaodong. ON THE ODD INTEGRAL SOLUTIONS OF THE EGUATION multiply from i=1 to k(x_i~(x_i))=Z~Z[J]. Journal of Hubei University(Natural Science Edition), 1988, 0(3) |
| |
| Authors: | Yao Zhaodong |
| |
| Affiliation: | The Institute of Air Force Radar |
| |
| Abstract: | Ke Zhao and Sun Qi studied the equationwhen k>3 and(x1,i,..., xk, Z)>1,They proved that the given equation has infinitely many even integral solutions for any integer k>3 and has odd integral solutions for some special integers KIn this paper,We shall prove that the given equation has odd integral solutions for all k>3 At the same time our theorem 3 will give a set of new even integral solutions which involves the even integral solutions given in [2]and[3] |
| |
| Keywords: | Integral solutisn odd (even) integral solution. |
| 本文献已被 CNKI 等数据库收录！ |
|
