AN ANALOGUE OF EULER’S IDENTITY AND SPLIT PERFECT PARTITIONS

DOI10.1017/S0004972718001211zbMath1414.05026OpenAlexW2904848088WikidataQ128741589 ScholiaQ128741589MaRDI QIDQ5380445

Megha Goyal

Publication date: 4 June 2019

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

Full work available at URL: https://doi.org/10.1017/s0004972718001211

zbMATH Keywords

generating functions\(q\)-seriesperfect partitionssplit \((n + t)\)-colour partitions

Mathematics Subject Classification ID

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

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

Cites Work

• Split \((n+t)\)-color partitions and Gordon-McIntosh eight order mock theta functions
• New partition theoretic interpretations of Rogers-Ramanujan identities
• Basic series identities and combinatorics
• Rogers-Ramanujan identities for partitions with n copies of n
• Partitions with ``d(a) copies of a
• Some properties of perfect partitions
• Perfect partitions
• Some continued fractions of the Rogers-Ramanujan type
• Partition Theorems Related to Some Identities of Rogers and Watson
• Some Eighth Order Mock Theta Functions
• NOTE ON ODD MULTIPERFECT NUMBERS
• Partitionen mit Differenzenbedingungen.
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