Combinatorial interpretations as two-line array for the mock theta functions

DOI10.1007/S00574-013-0011-0zbMath1365.11115OpenAlexW1971694375MaRDI QIDQ360226

Robson da Silva, Eduardo H. M. Brietzke, Santos, José Plínio O.

Publication date: 26 August 2013

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-013-0011-0

zbMATH Keywords

partitionsmock theta functionscombinatorial interpretationpartition enumeration

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Elementary theory of partitions (11P81)

Related Items (8)

On a new formula for the number of unrestricted partitions ⋮ Identities for partitions generated by the unsigned versions of some mock theta functions ⋮ Combinatorial interpretations of mock theta functions by attaching weights ⋮ A new approach to integer partitions ⋮ A new approach and generalizations to some results about mock theta functions ⋮ Congruences related to an eighth order mock theta function of Gordon and McIntosh ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• The Bailey chain and mock theta functions
• Bijective proofs using two-line matrix representations for partitions
• New two-line arrays representing partitions
• Ramanujan's ``lost notebook. IV: Stacks and alternating parity in partitions
• Dyson's ranks and Maass forms
• Ramanujan's ``Lost Notebook. VII: The sixth order mock theta functions
• The \(f(q)\) mock theta function conjecture and partition ranks
• Bijections between Lattice Paths and Plane Partitions
• Automorphic properties of generating functions for generalized odd rank moments and odd Durfee symbols
• New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
• The Mock Theta Functions (2)
• Further Identities of the Rogers-Ramanujan Type
• Some Asymptotic Formulae for the Mock Theta Series of Ramanujan
• Congruences for Ramanujan's \(\omega (q)\)

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