The overpartition function modulo small powers of 2

被引：82

作者：

Mahlburg, K ^{[1
]}

机构：

[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

来源：

DISCRETE MATHEMATICS | 2004年 / 286卷 / 03期

基金：

美国国家科学基金会;

关键词：

overpartition; congruence;

D O I：

10.1016/j.disc.2004.03.014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In a recent paper, Fortin et al. (Jagged Partitions, arXivmath. CO/0310079, 2003) found congruences modulo powers of 2 for the values of the overpartition function (p) over bar (n) in arithmetic progressions. The moduli for these congruences ranged as high as 64. This note shows that (p) over bar (n) equivalent to 0 (mod 64) for a set of integers of arithmetic density 1. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：263 / 267

页数：5

共 13 条

[1]

Andrews G., 1998, THEORY PARTITIONS

[2] Overpartitions [J].