CONGRUENCES FOR k DOTS BRACELET PARTITION FUNCTIONS

DOI10.1142/S1793042113500644zbMath1282.11141arXiv1303.4826OpenAlexW2963559747MaRDI QIDQ2870221

Nancy S. S. Gu, Su-Ping Cui

Publication date: 17 January 2014

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

Full work available at URL: https://arxiv.org/abs/1303.4826

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) Elementary theory of partitions (11P81)

Related Items (4)

Congruences for broken 3-diamond and 7 dots bracelet partitions ⋮ 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

• Congruences for broken \(k\)-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
• Some congruences for Andrews-Paule's broken 2-diamond partitions
• 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
• ELEMENTARY PROOFS OF PARITY RESULTS FOR 5-REGULAR PARTITIONS
• Unnamed Item

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