Ramanujan’s Theta Functions and Parity of Parts and Cranks of Partitions

被引：0

作者：

Koustav Banerjee

Manosij Ghosh Dastidar

机构：

[1] Johannes Kepler University,Research Institute for Symbolic Computation

[2] Technische Universität Wien,undefined

来源：

Annals of Combinatorics | 2023年 / 27卷

关键词：

Ramanujan’s theta functions; Partitions; Parity of parts; Cranks; 05A17; 11P83;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we explore intricate connections between Ramanujan’s theta functions and a class of partition functions defined by the nature of the parity of their parts. This consequently leads us to the parity analysis of the crank of a partition and its correlation with the number of partitions with odd number of parts, self-conjugate partitions, and also with Durfee squares and Frobenius symbols.

引用

页码：565 / 578

页数：13

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