Congruences modulo 11 for broken 5-diamond partitions
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Publication:1635630
DOI10.1007/S11139-017-9894-5zbMath1448.11183OpenAlexW2609900324MaRDI QIDQ1635630
James A. Sellers, Ernest X. W. Xia, Eric H. Liu
Publication date: 31 May 2018
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11139-017-9894-5
Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)
Cites Work
- Infinite families of congruences modulo 7 for broken 3-diamond partitions
- More infinite families of congruences modulo 5 for broken 2-diamond partitions
- Congruences for broken \(k\)-diamond partitions
- New parity results for broken 11-diamond partitions
- New congruences modulo powers of 2 for broken 3-diamond partitions and 7-core 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
- An extensive analysis of the parity of broken 3-diamond partitions
- Some congruences for Andrews-Paule's broken 2-diamond partitions
- Newman's identity and infinite families of congruences modulo 7 for broken 3-diamond partitions
- Congruences for broken 3-diamond and 7 dots bracelet partitions
- Elementary proofs of Radu and Sellers' results for broken 2-diamond partitions
- Elementary proofs of parity results for broken 3-diamond partitions
- Parity results for broken k-diamond partitions and (2k+1)-cores
- MacMahon's partition analysis XI: Broken diamonds and modular forms
- On recent congruence results of Andrews and Paule for broken k-diamonds
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