Combinatorial identities for tenth order mock theta functions

DOI10.1007/S12044-019-0475-YzbMath1415.05014OpenAlexW2940311491WikidataQ128005647 ScholiaQ128005647MaRDI QIDQ2422791

Meenakshi Rana, Megha Goyal

Publication date: 21 June 2019

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-019-0475-y

zbMATH Keywords

mock theta functionslattice pathsFrobenius partitionscolor partitionsBender-Knuth matrices

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Cites Work

• Combinatorics of tenth-order mock theta functions
• On an extension of a combinatorial identity
• Rogers-Ramanujan identities for partitions with n copies of n
• Lattice paths and multiple basic hypergeometric series
• Tenth order mock theta functions in Ramanujan's lost notebook
• On 3-way combinatorial identities
• Overpartitions, lattice paths, and Rogers-Ramanujan identities
• Enumeration of plane partitions
• Generalized Frobenius partitions
• Lattice Paths and Rogers Identities
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