A new approach to integer partitions

DOI10.1007/S00574-018-0082-ZzbMath1443.11215OpenAlexW2789928942MaRDI QIDQ1757107

M. L. Matte, Santos, José Plínio O.

Publication date: 2 January 2019

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/s00574-018-0082-z

zbMATH Keywords

mock theta functionsmatrix representationinteger partitionspartition identities

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Elementary theory of partitions (11P81) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (3)

On a new formula for the number of unrestricted partitions ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• Combinatorial interpretations as two-line array for the mock theta functions
• A new approach and generalizations to some results about mock theta functions
• Bijective proofs using two-line matrix representations for partitions
• New two-line arrays representing partitions
• Identities for partitions generated by the unsigned versions of some mock theta functions
• Bijections between Lattice Paths and Plane Partitions
• Generalized Frobenius partitions

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