More parity results for broken 8-diamond partitions

DOI10.1007/S11139-014-9660-XzbMath1408.11105OpenAlexW1994210936MaRDI QIDQ5963793

Yudong Wang

Publication date: 23 February 2016

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

Full work available at URL: https://doi.org/10.1007/s11139-014-9660-x

zbMATH Keywords

congruencesmodular formsbroken \(k\)-diamond partitions

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Holomorphic modular forms of integral weight (11F11)

Related Items (2)

Some congruences modulo 3, 5 and 7 for broken \(((r\ell-1)/2)\)-diamond partitions for \(r\in \{3,25,49\}\) and odd positive integer \(\ell\) ⋮ Congruences modulo 4 for broken \(k\)-diamond partitions

Cites Work

• Congruences for broken \(k\)-diamond partitions
• New parity results for broken 11-diamond partitions
• Infinite families of strange partition congruences for broken 2-diamonds
• Two congruences involving Andrews-Paule's broken 3-diamond partitions and 5-diamond partitions
• An extensive analysis of the parity of broken 3-diamond partitions
• Some congruences for Andrews-Paule's broken 2-diamond partitions
• Parity results for broken k-diamond partitions and (2k+1)-cores
• MacMahon's partition analysis XI: Broken diamonds and modular forms
• On recent congruence results of Andrews and Paule for broken k-diamonds
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