| 一个数论问题——自然数圈的等和三段的划分 |
| |
| 引用本文： | 吴伟朝.一个数论问题——自然数圈的等和三段的划分[J].河南师范大学学报(自然科学版),1991,19(4):127-130. |
| |
| 作者姓名： | 吴伟朝 |
| |
| 作者单位： | 河南师范大学数学系 |
| |
| 摘 要： | 本文提出一个数论问题,要求求出所有的正整数 n(>3) ,使得自然数圈1,2,3,…,n-1,n 能被划分成三段,每段上的各数之和相等.本文证明了这样的 n 有无穷多个,并用递推公式给出了无穷多个这样的 n.
|
| 关 键 词： | 自然数圈 划分 丢番图方程 pell方程 |
A NUMBER THEORY PROBLEM-PARTITION OF NATURAL NUMBER CIRCLE IN THREE SECTIONS OF EQUAL SUM |
| |
| Wu Weichao.A NUMBER THEORY PROBLEM-PARTITION OF NATURAL NUMBER CIRCLE IN THREE SECTIONS OF EQUAL SUM[J].Journal of Henan Normal University(Natural Science),1991,19(4):127-130. |
| |
| Authors: | Wu Weichao |
| |
| Institution: | Department of Mathematics |
| |
| Abstract: | In this paper,we propose a number theory problem as follows:Determine all positive interger n(>3) such that the natural number circle 1,2,…,n-1,n can be partitioned in three sections of equal sum.We prove that the number of these n is infinite and give a recurrence formula ofn in partly. |
| |
| Keywords: | nutural number circle partition diophantus equation pell equation |
| 本文献已被 CNKI 维普 等数据库收录！ |
|
