A NEW PROOF OF SYLVESTER'S THEOREM ON ODD PERFECT NUMBERS

被引：0
|
作者：
Nyblom, M. A. [1 ]
机构：
[1] RMIT Univ, Sch Math & Geospatial Sci, GPO Box 2476V, Melbourne, Vic 3001, Australia
来源：
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS | 2013年 / 31卷 / 02期
关键词：
odd perfect number; sum of divisor function;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A new and elementary proof is presented which establishes a result of Sylvester namely, an odd perfect number must necessarily have at least three distinct prime factors. The argument depends on nothing more than a simple factorization of monic polynomials of the form 1 + p + ... + p(n).
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页码：101 / 105
页数：5
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