On the parity of exponents in the factorization of n!

被引：15

作者：

Berend, D ^{[1
]}

机构：

[1] BEN GURION UNIV NEGEV,DEPT MATH & COMP SCI,IL-84105 BEER SHEVA,ISRAEL

来源：

JOURNAL OF NUMBER THEORY | 1997年 / 64卷 / 01期

关键词：

D O I：

10.1006/jnth.1997.2106

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that, for any ic, there exist infinitely many positive integers n such that in the prime power factorization of n !, all first k primes appear to even exponents. This answers a question of Erdos and Graham (''Old and New Problems and Results in Combinatorial Number Theory,'' L'Enseignement Mathematique, Imprimerie Kundia, Geneva, 1980). A few generalizations are provided as well. (C) 1997 Academic Press.

引用

页码：13 / 19

页数：7