New congruences for broken \(k\)-diamond and \(k\) dots bracelet partitions

DOI10.1134/S0001434622090085zbMath1506.11133MaRDI QIDQ2090538

Jing-Jun Yu

Publication date: 25 October 2022

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

congruencesbroken \(k\)-diamond partitionsHecke eigenforms\(k\) dots bracelet partitions

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Discontinuous groups and automorphic forms (11F99)

Cites Work

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• More infinite families of congruences modulo 5 for broken 2-diamond partitions
• Infinite families of strange partition congruences for broken 2-diamonds
• An extensive analysis of the parity of broken 3-diamond partitions
• Some congruences for Andrews-Paule's broken 2-diamond partitions
• Dedekind \(\eta\)-function in modern research
• On Somos' dissection identities
• COMBINATORIAL PROOF OF ONE CONGRUENCE FOR THE BROKEN 1-DIAMOND PARTITION AND A GENERALIZATION
• On recent congruence results of Andrews and Paule for broken k-diamonds
• Sur la lacunarité des puissances de η

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