Additive evaluations of the number of divisors

被引：1

作者：

Merca, Mircea ^{[1
]}

机构：

[1] Univ Politehn Bucuresti, Fundamental Sci Appl Engn Res Ctr, Dept Math Methods & Models, Bucharest 060042, Romania

来源：

RAMANUJAN JOURNAL | 2024年 / 63卷 / 03期

关键词：

Partitions; Divisors; Linear inequalities;

D O I：

10.1007/s11139-023-00773-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

If m and n are positive integers, then a(m)(n) denotes the number of the parts congruent to 0 modulo m in all the partitions of n. On the strength of Euler's pentagonal number theorem, this paper shows that the number of positive divisors of n can be expressed additively in terms of the partition function a(m)(.).

引用

页码：583 / 601

页数：19

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