On the Partitions of a Number into Arithmetic Progressions

被引：0

作者：

Munagi, Augustine O. ^{[1
]}

Shonhiwa, Temba ^{[1
]}

机构：

[1] Univ Witwatersrand, Sch Math, John Knopfmacher Ctr Applicable Anal & Number The, Private Bag 3, ZA-2050 Johannesburg, South Africa

来源：

JOURNAL OF INTEGER SEQUENCES | 2008年 / 11卷 / 05期

关键词：

artition; arithmetic progression; divisor function; Diophantine equation;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper investigates the enumeration of the set AP(n) of partitions of a positive integer n in which the nondecreasing sequence of parts form an arithmetic progression. We establish formulas for such partitions, and characterize a class of integers n with the property that the length of every member of AP(n) divides n. We prove that the number of such integers is small.

引用

页数：10