Author:
Banerjee Koustav,Dastidar Manosij Ghosh
Abstract
AbstractIn 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.
Publisher
Springer Science and Business Media LLC
Subject
Discrete Mathematics and Combinatorics
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