Hook lengths in self-conjugate partitions

DOI10.1090/bproc/220MaRDI QIDQ6572989

Tewodoros Amdeberhane, Ken Ono, Ajit Singh, George E. Andrews

Publication date: 16 July 2024

Published in: Proceedings of the American Mathematical Society. Series B (Search for Journal in Brave)

zbMATH Keywords

\(t\)-corehook lengthsself-conjugate partitions\(t\)-quotient

Mathematics Subject Classification ID

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

Cites Work

• The Nekrasov-Okounkov hook length formula: refinement, elementary proof, extension and applications
• Cranks and t-cores
• 4-core partitions and class numbers
• Multiplication theorems for self-conjugate partitions
• Euler’s “De Partitio Numerorum”
• Modular representations of symmetric groups
• Hook length biases and general linear partition inequalities
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Related Items (1)

Hook length biases in ordinary and \(t\)-regular partitions

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