A NOTE ON ODD PERFECT NUMBERS

被引：0

作者：

Dris, Jose Arnaldo B. ^{[1
]}

Luca, Florian ^{[2
]}

机构：

[1] Far Eastern Univ, Manila, Philippines

[2] Univ Witwatersrand, Sch Math, Private Bag X3, ZA-2050 Johannesburg, South Africa

来源：

FIBONACCI QUARTERLY | 2016年 / 54卷 / 04期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we show that if N is an odd perfect number and q(alpha) is some prime power exactly dividing it, then sigma(N/q(alpha))/q(alpha) > 5. In general, we also show that if sigma(N/q(alpha))/q(alpha) < K, where K is any constant, then N is bounded by some function depending on K.

引用

页码：291 / 295

页数：5

共 50 条

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