CONGRUENCES MODULO POWERS OF 2 FOR FU’S 5 DOTS BRACELET PARTITIONS

DOI10.1017/S0004972713000737zbMath1301.11070OpenAlexW2138549104MaRDI QIDQ5419380

Ernest X. W. Xia, Olivia X. M. Yao

Publication date: 6 June 2014

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972713000737

zbMATH Keywords

partitionscongruences2-dissections\(k\) dots bracelet partitions

Mathematics Subject Classification ID

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

Related Items (3)

Congruences modulo \(p^2\) and \(p^3\) for \(k\) dots bracelet partitions with \(k = m p^s\) ⋮ Unnamed Item ⋮ Arithmetic properties for Fu's 9 dots bracelet partitions

Cites Work

• Analogues of Ramanujan's partition identities
• Some modular relations for the Göllnitz-Gordon functions by an even-odd method
• 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
• The expansion of ∏_k=1^∞(1-q^ak)(1-q^bk)
• ON THE BROKEN 1-DIAMOND PARTITION
• CONGRUENCES MODULO SQUARES OF PRIMES FOR FU'S k DOTS BRACELET PARTITIONS
• ELEMENTARY PROOFS OF PARITY RESULTS FOR 5-REGULAR PARTITIONS

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