A NEW CONGRUENCE MODULO 25 FOR 1-SHELL TOTALLY SYMMETRIC PLANE PARTITIONS

DOI10.1017/S0004972714000768zbMath1305.11087OpenAlexW2130854773MaRDI QIDQ5175056

Ernest X. W. Xia

Publication date: 19 February 2015

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

Full work available at URL: https://doi.org/10.1017/s0004972714000768

zbMATH Keywords

congruence1-shell totally symmetric plane partitions

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)

Related Items (4)

Congruences for partition functions related to mock theta functions ⋮ Congruences for 1-shell totally symmetric plane partitions ⋮ 1-shell totally symmetric plane partitions (TSPPs) modulo powers of 5 ⋮ Generating functions and congruences for some partition functions related to mock theta functions

Cites Work

• The enumeration of totally symmetric plane partitions
• Plane partitions. VI: Stembridge's TSPP theorem
• ARITHMETIC PROPERTIES OF 1-SHELL TOTALLY SYMMETRIC PLANE PARTITIONS
• NEW INFINITE FAMILIES OF CONGRUENCES MODULO 4 AND 8 FOR 1-SHELL TOTALLY SYMMETRIC PLANE PARTITIONS

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