author = {K. Banerjee and M. G. Dastidar},
title = {{Ramanujan's theta functions and parity of parts and cranks of partitions}},
language = {english},
abstract = {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 to the number of partitions with odd number of parts, self-conjugate partitions, and also with Durfee squares and Frobenius symbols.},
number = {22-19},
year = {2022},
month = {August},
keywords = {Ramanujan’s theta functions, partitions, parity of parts, cranks.},
length = {13},
type = {To appear in Annals of Combinatorics},
type = {RISC Report Series},
institution = {Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz},
address = {Schloss Hagenberg, 4232 Hagenberg, Austria}