ARITHMETIC PROPERTIES OF 1-SHELL TOTALLY SYMMETRIC PLANE PARTITIONS

DOI10.1017/S0004972713000865zbMath1304.05006OpenAlexW2119839809MaRDI QIDQ5419391

James A. Sellers, Michael D. Hirschhorn

Publication date: 6 June 2014

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

Full work available at URL: https://doi.org/10.1017/s0004972713000865

zbMATH Keywords

partitiongenerating functioncongruencetotally symmetric plane partition

Mathematics Subject Classification ID

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

Related Items (9)

Proofs of some conjectures of Chan and Wang on congruences for \((q;q)_\infty^{\frac{a}{b}}\) ⋮ Congruences for partition functions related to mock theta functions ⋮ Congruences modulo 5 for the number of spin characters of the double covers of the symmetric and alternating groups ⋮ A NEW CONGRUENCE MODULO 25 FOR 1-SHELL TOTALLY SYMMETRIC PLANE PARTITIONS ⋮ Congruences for 1-shell totally symmetric plane partitions ⋮ Proofs of some conjectures on the reciprocals of the Ramanujan-Gordon identities ⋮ 1-shell totally symmetric plane partitions (TSPPs) modulo powers of 5 ⋮ Generating functions and congruences for some partition functions related to mock theta functions ⋮ Identities, inequalities and congruences for odd ranks and \(k\)-marked odd Durfee symbols

Cites Work

• The enumeration of totally symmetric plane partitions
• Plane partitions. VI: Stembridge's TSPP theorem
• Another Short Proof of Ramanujan's Mod 5 Partition Congruence, and More
• Unnamed Item

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