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| 摘要: |
| 本文研究了奇完全数的两个性质.利用初等的方法以及除数函数的性质对于Jouchard[4]提出的猜想给出了确切的证明,并且推广Yamada[5]等人的结果. |
| 关键词: 奇完全数 Euler 因子 存在性 |
| DOI： |
| 分类号:O156.1 |
| 基金项目:陕西省科技厅项目基金资助(2013JQ1019);陕西省高水平大学建设专项基金资助项目基金资助(2012SXTS07). |
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| TWO PROPERTIES OF ODD PERFECT NUMBERS |
|
HE Yan-feng,SUN Chun-li
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| Abstract: |
| In this paper, we study two properties of the odd perfect number. By using the elementary method and the properties of the divisor function, we give an explicit proof for the conjecture which was proposed by Touchard [4], which improvers the result of Yamada in [5]. |
| Key words: odd perfect number Euler factor existence |
