Exact generating functions for the number of partitions into distinct parts

被引：17

作者：

Baruah, Nayandeep Deka ^{[1
]}

Begum, Nilufar Mana ^{[1
]}

机构：

[1] Tezpur Univ, Dept Math Sci, Sonitpur 784028, Assam, India

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2018年 / 14卷 / 07期

关键词：

Partitions; partitions into distinct (or; odd); parts; partition congruences;

D O I：

10.1142/S1793042118501191

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Q(n) denote the number of partitions of a non-negative integer into distinct (or, odd) parts. We find exact generating functions for Q(5n + 1), Q(25n + 1) and Q(125n + 26). We deduce some congruences modulo 5 and 25. We employ Ramanujan's theta function identities and some identities for the Rogers-Ramanujan continued fraction.

引用

页码：1995 / 2011

页数：17

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