Arithmetic properties for Fu's 9 dots bracelet partitions

DOI10.1142/S1793042115500566zbMath1325.11106OpenAlexW1973274341MaRDI QIDQ5253871

Olivia X. M. Yao

Publication date: 5 June 2015

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

Full work available at URL: https://doi.org/10.1142/s1793042115500566

zbMATH Keywords

partitionsRamanujan-like congruences\(k\) dots bracelet partitions

Mathematics Subject Classification ID

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

Cites Work

• Some modular relations for the Göllnitz-Gordon functions by an even-odd method
• Analogues of Ramanujan's partition identities and congruences arising from his theta functions and modular equations
• New Ramanujan-like congruences modulo powers of 2 and 3 for overpartitions
• CONGRUENCES FOR k DOTS BRACELET PARTITION FUNCTIONS
• COMBINATORIAL PROOF OF ONE CONGRUENCE FOR THE BROKEN 1-DIAMOND PARTITION AND A GENERALIZATION
• MacMahon's partition analysis XI: Broken diamonds and modular forms
• CONGRUENCES MODULO SQUARES OF PRIMES FOR FU'S k DOTS BRACELET PARTITIONS
• CONGRUENCES MODULO POWERS OF 2 FOR FU’S 5 DOTS BRACELET PARTITIONS

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