On self-conjugate split \(n\)-color partitions

DOI10.1007/s41980-021-00657-wzbMath1495.05015OpenAlexW3213432074MaRDI QIDQ2079827

Rachna Sachdeva

Publication date: 30 September 2022

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-021-00657-w

zbMATH Keywords

generating functionsrecurrence relations\((n+t)\)-color partitionsself-conjugate partitionsself-conjugate split \(n\)-color partitionssplit \(n\)-color partitions

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

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• 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
• Rogers-Ramanujan identities for partitions with n copies of n
• Rogers-Ramanujan identities for n-color partitions
• \(q\)-functional equations and some partition identities
• Corrigendum: A note on self-conjugate \(n\)-color partitions
• \(n\)-color partitions with weighted differences equal to minus two
• 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
• Further Theorems of the Rogers-Ramanujan Type Theorems^*
• New Combinatorial Interpretations of Two Analytic Identities
• AN ANALOGUE OF EULER’S IDENTITY AND SPLIT PERFECT PARTITIONS
• \(n\)-colour compositions

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