1-shell totally symmetric plane partitions (TSPPs) modulo powers of 5

DOI10.1007/s11139-020-00306-6zbMath1479.11179arXiv1802.04344OpenAlexW3046198646MaRDI QIDQ2039003

Shane Chern

Publication date: 7 July 2021

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.04344

zbMATH Keywords

partitionscongruences1-shell TSPPspowers of 5

Mathematics Subject Classification ID

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

Related Items (3)

A conjecture of Baruah and Begum on the smallest parts function of restricted overpartitions ⋮ Identities, inequalities and congruences for odd ranks and \(k\)-marked odd Durfee symbols ⋮ THE ROGERS–RAMANUJAN CONTINUED FRACTION AND RELATED ETA-QUOTIENT REPRESENTATIONS

Cites Work

• Partitions into distinct parts modulo powers of 5
• The power of \(q\). A personal journey
• Newton's Identities
• A NEW CONGRUENCE MODULO 25 FOR 1-SHELL TOTALLY SYMMETRIC PLANE PARTITIONS
• Congruences for 1-shell totally symmetric plane partitions
• ARITHMETIC PROPERTIES OF 1-SHELL TOTALLY SYMMETRIC PLANE PARTITIONS
• THE ROGERS–RAMANUJAN CONTINUED FRACTION AND RELATED ETA-QUOTIENT REPRESENTATIONS
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