On the parity of the number of partitions in square free parts

被引：1

作者：

Zaharescu, A ^{[1
]}

机构：

[1] Univ Illinois, Dept Math, Urbana, IL 61801 USA

来源：

RAMANUJAN JOURNAL | 2003年 / 7卷 / 1-3期

关键词：

partition function; parity problem; square free numbers;

D O I：

10.1023/A:1026267717214

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let (p) over tilde (n) be the number of partitions of a positive integer n in square free parts. We prove that for large N, (a) The number of nless than or equal toN such that (p) over tilde (n) is odd is much greater than log N, (b) The number of nless than or equal toN such that (p) over tilde (n) is even is much greater than N/log N.

引用

页码：333 / 341

页数：9

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