Congruences modulo 4 for broken \(k\)-diamond partitions

DOI10.1007/S11139-016-9858-1zbMath1433.11120OpenAlexW2576554430MaRDI QIDQ682002

Ernest X. W. Xia

Publication date: 13 February 2018

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

Full work available at URL: https://doi.org/10.1007/s11139-016-9858-1

zbMATH Keywords

theta functioncongruencebroken \(k\)-diamond partition

Mathematics Subject Classification ID

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

Cites Work

• Analogues of Ramanujan's partition identities
• New parity results for broken 11-diamond partitions
• New congruences modulo powers of 2 for broken 3-diamond partitions and 7-core partitions
• An extensive analysis of the parity of broken 3-diamond partitions
• New analogues of Ramanujan's partition identities
• Some congruences for Andrews-Paule's broken 2-diamond partitions
• New Ramanujan-like congruences modulo powers of 2 and 3 for overpartitions
• Congruences for broken 3-diamond and 7 dots bracelet partitions
• Elementary proofs of parity results for broken 3-diamond partitions
• Parity results for broken k-diamond partitions and (2k+1)-cores
• Ramanujan’s “Most Beautiful Identity”
• MacMahon's partition analysis XI: Broken diamonds and modular forms
• On recent congruence results of Andrews and Paule for broken k-diamonds
• ELEMENTARY PROOFS OF VARIOUS FACTS ABOUT 3-CORES
• Parity results for broken 5-diamond, 7-diamond and 11-diamond partitions
• More parity results for broken 8-diamond partitions
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