Congruences modulo 7 for broken 3-diamond partitions

DOI10.1007/s11139-018-0043-6zbMath1462.11090OpenAlexW2889726971MaRDI QIDQ2011346

Wenjing Du, Eric H. Liu

Publication date: 6 December 2019

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

Full work available at URL: https://doi.org/10.1007/s11139-018-0043-6

zbMATH Keywords

theta functioncongruencebroken \(k\)-diamond partition

Mathematics Subject Classification ID

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

Cites Work

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• Infinite families of congruences modulo 7 for broken 3-diamond partitions
• More infinite families of congruences modulo 5 for broken 2-diamond partitions
• Congruences for broken \(k\)-diamond partitions
• Congruences modulo 9 and 27 for overpartitions
• Infinite families of strange partition congruences for broken 2-diamonds
• Two congruences involving Andrews-Paule's broken 3-diamond partitions and 5-diamond partitions
• Newman's identity and infinite families of congruences modulo 7 for broken 3-diamond partitions
• MacMahon's partition analysis XI: Broken diamonds and modular forms