New convolutions for the number of divisors

被引：5

作者：

Ballantine, Cristina ^{[1
]}

Merca, Mircea ^{[2
]}

机构：

[1] Coll Holy Cross, Dept Math & Comp Sci, Worcester, MA 01610 USA

[2] Univ Craiova, Dept Math, AI Cuza 13, Craiova 200585, Romania

来源：

JOURNAL OF NUMBER THEORY | 2017年 / 170卷

关键词：

Divisors; Lambert series; Partitions;

D O I：

10.1016/j.jnt.2016.06.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce new convolutions for the number of divisors function. We also provide combinatorial interpretations for some of the convolutions. In addition, we prove arithmetic properties for several restricted partitions functions used in the convolutions. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：17 / 34

页数：18

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