Combinatorial identities associated with a bivariate generating function for overpartition pairs

DOI10.1016/j.aam.2022.102444OpenAlexW4300861136MaRDI QIDQ2104905

Ankush Goswami, Atul Dixit

Publication date: 8 December 2022

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.06746

zbMATH Keywords

Chebyshev polynomialstheta seriesquintuple product identityeta-quotientsoverpartition pairs

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Forms of half-integer weight; nonholomorphic modular forms (11F37) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Elementary theory of partitions (11P81) Partition identities; identities of Rogers-Ramanujan type (11P84)

Cites Work

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• Pairs of partitions without repeated odd parts
• On the paper a 'lost' notebook of Ramanujan
• Rank and conjugation for a second Frobenius representation of an overpartition
• Relations between the ranks and cranks of partitions
• On modular forms of half integral weight
• Automorphic Properties of Generating Functions for Generalized Rank Moments and Durfee Symbols
• The number of smallest parts in the partitions of n
• Overpartitions
• Almost partition identities
• Further Identities of the Rogers-Ramanujan Type

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