Arithmetic identities for some analogs of the 5-core partition function

MaRDI QIDQ6496973

Subhajit Bandyopadhyay, Nayandeep Deka Baruah

Publication date: 6 May 2024

Published in: Journal of Integer Sequences (Search for Journal in Brave)

zbMATH Keywords

generating functiontheta functionrecurrence relation\(t\)-core partitionanalogue of \(t\)-core partition

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Recurrences (11B37) Elementary theory of partitions (11P81)

Cites Work

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• The power of \(q\). A personal journey
• Cranks and t-cores
• Partition identities and Ramanujan's modular equations
• Exact generating functions for the number of partitions into distinct parts
• Defect zero blocks for finite simple groups
• A new analogue of $t$-core partitions
• A survey on t-core partitions

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