<div class="csl-bib-body">
<div class="csl-entry">Banerjee, K., & Dastidar, M. G. (2022). Ramanujan’s Theta Functions and Parity of Parts and Cranks of Partitions. <i>Annals of Combinatorics</i>, 565–578. https://doi.org/10.1007/s00026-022-00615-1</div>
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dc.identifier.issn
0218-0006
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/142267
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dc.description.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 with the number of partitions with odd number of parts, self-conjugate partitions, and also with Durfee squares and Frobenius symbols.
en
dc.language.iso
en
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dc.publisher
SPRINGER BASEL AG
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dc.relation.ispartof
Annals of Combinatorics
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dc.subject
Cranks
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dc.subject
Parity of parts
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dc.subject
Partitions
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dc.subject
Ramanujan’s theta functions
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dc.title
Ramanujan’s Theta Functions and Parity of Parts and Cranks of Partitions
