scientific article; zbMATH DE number 7795658
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Publication:6183273
zbMath1529.05006MaRDI QIDQ6183273
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Publication date: 26 January 2024
Full work available at URL: https://cdm.ucalgary.ca/article/view/73702
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combinatorial identitiesRogers-Ramanujan identitiescombinatorial interpretationlattice paths\((n+t)\)-color partitionssplit \((n+t)\)-color partitionsmodified lattice paths
Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)
Cites Work
- Split \((n+t)\)-color partitions and Gordon-McIntosh eight order mock theta functions
- Basic series identities and combinatorics
- Some partition theorems of the Rogers-Ramanujan type
- Some Rogers-Ramanujan type partition theorems
- Hook differences and lattice paths
- Rogers-Ramanujan identities for partitions with n copies of n
- Rogers-Ramanujan identities for n-color partitions
- Lattice paths and multiple basic hypergeometric series
- Some continued fractions of the Rogers-Ramanujan type
- A Combinatorial Generalization of the Rogers-Ramanujan Identities
- Partition Theorems Related to Some Identities of Rogers and Watson
- On the number of certain lattice polygons
- Further Theorems of the Rogers-Ramanujan Type Theorems*
- New Combinatorial Interpretations of Two Analytic Identities
- An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli
- Partitionen mit Differenzenbedingungen.
- Further Identities of the Rogers-Ramanujan Type
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