New congruences for broken $k$-diamond partitions

zbMath1398.05035arXiv1709.02584MaRDI QIDQ4581217

Dazhao Tang

Publication date: 16 August 2018

Full work available at URL: https://arxiv.org/abs/1709.02584

zbMATH Keywords

partitioncongruencesbroken \(k\)-diamond partition

Mathematics Subject Classification ID

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

Related Items (1)

THE ROGERS–RAMANUJAN CONTINUED FRACTION AND RELATED ETA-QUOTIENT REPRESENTATIONS

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
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• An algorithmic approach to Ramanujan-Kolberg identities
• Infinite families of strange partition congruences for broken 2-diamonds
• Broken 2-diamond partitions modulo 5
• Some congruences for Andrews-Paule's broken 2-diamond partitions
• Newman's identity and infinite families of congruences modulo 7 for broken 3-diamond partitions
• The power of \(q\). A personal journey
• CONGRUENCE PROPERTIES MODULO 5 AND 7 FOR THE pod FUNCTION
• MacMahon's partition analysis XI: Broken diamonds and modular forms

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