New congruences on partition diamonds with \(n+1\) copies of \(n\)

DOI10.1007/S11139-024-00934-2MaRDI QIDQ6631611

Yongqiang Chen, Olivia X. M. Yao, Eric H. Liu

Publication date: 1 November 2024

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

zbMATH Keywords

partitionscongruencesNewman's identitypartitions with \(n\) copies of \(n\)

Mathematics Subject Classification ID

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

Cites Work

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• The power of \(q\). A personal journey
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• Congruences for the reciprocals of the Ramanujan–Gordon identities
• Newman's identities, lucas sequences and congruences for certain partition functions
• ARITHMETIC PROPERTIES OF 1-SHELL TOTALLY SYMMETRIC PLANE PARTITIONS
• THE ROGERS–RAMANUJAN CONTINUED FRACTION AND RELATED ETA-QUOTIENT REPRESENTATIONS
• MacMahon's partition analysis. VIII: Plane partition diamonds
• MacMahon's partition analysis. XIV: Partitions with \(n\) copies of \(n\)

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