More infinite families of congruences modulo 5 for broken 2-diamond partitions
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Publication:311470
DOI10.1016/j.jnt.2016.04.023zbMath1419.11116OpenAlexW2418154433MaRDI QIDQ311470
Publication date: 13 September 2016
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2016.04.023
Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)
Related Items (7)
Congruences modulo 11 for broken 5-diamond partitions ⋮ Congruences modulo 7 for broken 3-diamond partitions ⋮ New congruences for broken $k$-diamond partitions ⋮ Parity results for broken 11-diamond partitions ⋮ Arithmetic properties for a partition function related to the Ramanujan/Watson mock theta function \(\omega (q)\) ⋮ Unnamed Item ⋮ New congruences for broken \(k\)-diamond and \(k\) dots bracelet partitions
Cites Work
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- Infinite families of congruences modulo 7 for broken 3-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
- Ramanujan-type congruences for broken 2-diamond partitions modulo 3
- Infinite families of strange partition congruences for broken 2-diamonds
- An extensive analysis of the parity of broken 3-diamond partitions
- Modular forms whose coefficients possess multiplicative properties
- Some congruences for Andrews-Paule's broken 2-diamond partitions
- An identity of Ramanujan and the representation of integers as sums of triangular numbers
- 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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