Quadratic forms and congruences for \(\ell\)-regular partitions modulo 3, 5 and 7
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Publication:494125
DOI10.1016/j.aam.2015.06.005zbMath1327.05025OpenAlexW2212574474MaRDI QIDQ494125
Qing-Hu Hou, Li Zhang, Lisa Hui Sun
Publication date: 31 August 2015
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aam.2015.06.005
Related Items (8)
New congruences for \(\ell \)-regular partitions for \(\ell \in \{5,6,7,49\}\) ⋮ Congruences for 7 and 49-regular partitions modulo powers of 7 ⋮ Congruences for \(\ell\)-regular partitions and bipartitions ⋮ 6-regular partitions: new combinatorial properties, congruences, and linear inequalities ⋮ Arithmetic properties of 3-regular 6-tuple partitions ⋮ Ramanujan-type congruences for ℓ-regular partitions modulo 3, 5, 11 and 13 ⋮ Parity results for 13-regular partitions and broken 6-diamond partitions ⋮ Unnamed Item
Cites Work
- Arithmetic properties of \(\ell\)-regular partitions
- Parity results for 9-regular partitions
- Overpartition pairs modulo powers of 2
- Arithmetic properties of partitions with even parts distinct
- Congruences for \(\ell\)-regular partition functions modulo 3
- The \(p^{a}\)-regular partition function modulo \(p^{j}\)
- Divisibility of certain partition functions by powers of primes
- The 2-adic behavior of the number of partitions into distinct parts
- GENERALISATION OF KEITH’S CONJECTURE ON 9-REGULAR PARTITIONS AND 3-CORES
- Quadratic Forms and Four Partition Functions Modulo 3
- Partition identities involving gaps and weights
- ELEMENTARY PROOFS OF PARITY RESULTS FOR 5-REGULAR PARTITIONS
- A PROOF OF KEITH'S CONJECTURE FOR 9-REGULAR PARTITIONS MODULO 3
- Congruences for 9-regular partitions modulo 3
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