On inequalities and linear relations for 7-core partitions

DOI10.1016/j.disc.2009.09.024zbMath1235.11094OpenAlexW2062964749MaRDI QIDQ965967

Byungchan Kim

Publication date: 27 April 2010

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2009.09.024

zbMATH Keywords

modular forms7-core partitionDeligne's bound

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Holomorphic modular forms of integral weight (11F11) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (5)

IDENTITIES FOR SELF-CONJUGATE 7- AND 9-CORE PARTITIONS ⋮ Infinite families of arithmetic identities for self-conjugate 5-cores and 7-cores ⋮ Explicit bounds for the number of 𝑝-core partitions ⋮ On \(t\)-core towers and \(t\)-defects of partitions ⋮ INFINITE FAMILIES OF ARITHMETIC IDENTITIES FOR DOUBLED DISTINCT t-CORES FOR t = 3, 4, …, 10

Cites Work

• On the representations of integers by the sextenary quadratic form \(x^2+y^2+z^2+7s^2+7t^2+7u^2\) and 7-cores
• New identities for 7-cores with prescribed BG-rank
• Cranks and t-cores
• Partition identities and Ramanujan's modular equations
• Majorations Explicites Pour le Nombre de Diviseurs de N
• Some Congruences for Partitions that are p -Cores
• Defect zero blocks for finite simple groups
• Explicit bounds for the number of 𝑝-core partitions
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