Extensive parity analysis of broken 5-diamond partitions

DOI10.1142/S1793042116500135zbMath1332.05015OpenAlexW1677689300MaRDI QIDQ5743853

Bernard L. S. Lin, Andrew Y. Z. Wang, Amita Malik

Publication date: 8 February 2016

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042116500135

zbMATH Keywords

\(q\)-seriesbroken \(k\)-diamond partitionsparitypartition congruences

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)

Related Items (1)

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Cites Work

• Arithmetic properties of \(\ell\)-regular partitions
• Two congruences involving Andrews-Paule's broken 3-diamond partitions and 5-diamond partitions
• Some congruences for Andrews-Paule's broken 2-diamond partitions
• On recent congruence results of Andrews and Paule for broken k-diamonds
• Parity results for broken 5-diamond, 7-diamond and 11-diamond partitions
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