Congruences for broken 3-diamond and 7 dots bracelet partitions

DOI10.1007/s11139-013-9514-yzbMath1360.11104OpenAlexW2074383976MaRDI QIDQ2254857

Su-Ping Cui, Nancy S. S. Gu

Publication date: 6 February 2015

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

Full work available at URL: https://doi.org/10.1007/s11139-013-9514-y

zbMATH Keywords

partitioncongruencebroken \(k\)-diamond partition\(k\) dots bracelet partition

Mathematics Subject Classification ID

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

Related Items (8)

Infinite families of congruences modulo 7 for broken 3-diamond partitions ⋮ Congruences modulo 11 for broken 5-diamond partitions ⋮ Newman's identity and infinite families of congruences modulo 7 for broken 3-diamond partitions ⋮ New congruences modulo powers of 2 for broken 3-diamond partitions and 7-core partitions ⋮ 4-regular partitions and the pod function ⋮ On \(\ell \)-regular bipartitions modulo \(\ell \) ⋮ Congruences modulo 4 for broken \(k\)-diamond partitions ⋮ Unnamed Item

Cites Work

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• Congruences for broken \(k\)-diamond partitions
• Arithmetic properties of \(\ell\)-regular partitions
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• 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
• A generalization of the Farkas and Kra partition theorem for modulus 7
• On Somos' dissection identities
• CONGRUENCES FOR k DOTS BRACELET PARTITION FUNCTIONS
• Parity results for broken k-diamond partitions and (2k+1)-cores
• COMBINATORIAL PROOF OF ONE CONGRUENCE FOR THE BROKEN 1-DIAMOND PARTITION AND A GENERALIZATION
• MacMahon's partition analysis XI: Broken diamonds and modular forms
• On recent congruence results of Andrews and Paule for broken k-diamonds
• ON THE BROKEN 1-DIAMOND PARTITION
• CONGRUENCES MODULO SQUARES OF PRIMES FOR FU'S k DOTS BRACELET PARTITIONS
• THE CASE OF THE MYSTERIOUS SEVENS

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