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

Autor: Koustav Banerjee, Manosij Ghosh Dastidar
Rok vydání: 2022
Předmět:
Zdroj: Annals of Combinatorics.
ISSN: 0219-3094
0218-0006
DOI: 10.1007/s00026-022-00615-1
Popis: 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.
Databáze: OpenAIRE
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