arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0912.5504math.HOmath.NT
收藏

偶完满数的可加性

Additive properties of even perfect numbers

Yu Tsumura

摘要:

一个正整数n被称为完美的,如果sigma(n)=2n,其中sigma表示n的约数之和。本文证明了:如果n是偶完满数,则任意整数m<=n都表示为n的若干因子之和。

英文摘要:

A positive integer n is said to be perfect if sigma(n)=2n, where sigma denotes the sum of the divisors of n. In this article, we show that if n is an even perfect number, then any integer m<=n is expressed as a sum of some of divisors of n.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑