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)(.).
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页码：583 / 601
页数：19
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