Infinite families of infinite families of congruences for \(k\)-regular partitions
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Publication:744838
DOI10.1007/s11139-013-9523-xzbMath1300.11045OpenAlexW1994212531MaRDI QIDQ744838
Rowland Carlson, John J. B. Webb
Publication date: 26 September 2014
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11139-013-9523-x
Partitions; congruences and congruential restrictions (11P83) Congruences for modular and (p)-adic modular forms (11F33) Holomorphic modular forms of integral weight (11F11)
Related Items (24)
Parity results for 7-regular and 23-regular partitions ⋮ Congruences for (3,11)-regular bipartitions modulo 11 ⋮ New congruences for \(\ell \)-regular partitions for \(\ell \in \{5,6,7,49\}\) ⋮ An infinite family of congruences modulo 3 for 13-regular bipartitions ⋮ Ramanujan-type congruences modulo \(m\) for \((l, m)\)-regular bipartitions ⋮ Arithmetic properties for \((s,t)\)-regular bipartition functions ⋮ Congruences for \((s, t)\)-regular bipartition quadruples ⋮ Congruences of \(\ell\)-regular partition triples for \(\ell\in\{2, 3, 4, 5\}\) ⋮ Congruences for some \(l\)-regular partitions modulo \(l\) ⋮ Generalisations of Capparelli's and Primc's identities. I: Coloured Frobenius partitions and combinatorial proofs ⋮ Certain Diophantine equations and new parity results for 21-regular partitions ⋮ 4-regular partitions and the pod function ⋮ 6-regular partitions: new combinatorial properties, congruences, and linear inequalities ⋮ Arithmetic properties of 3-regular 6-tuple partitions ⋮ Congruences modulo \(4\) for the number of \(3\)-regular 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 ⋮ On \(\ell \)-regular bipartitions modulo \(\ell \) ⋮ Arithmetic properties for 7-regular partition triples ⋮ Congruences for \(\ell\)-regular overpartition for \(\ell \in \{5,6,8\}\) ⋮ Unnamed Item ⋮ Some congruences for $(s,t)$-regular bipartitions modulo $t$ ⋮ On \((\ell,m)\)-regular bipartition triples ⋮ On 3-divisibility of 9- and 27-regular partitions
Cites Work
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- Arithmetic of the 13-regular partition function modulo 3
- Congruences for \(\ell\)-regular partition functions modulo 3
- \(l\)-divisibility of \(l\)-regular partition functions
- Divisibility of certain partition functions by powers of primes
- Arithmetic properties of the partition function
- Distribution of the partition function modulo composite integers \(M\)
- Distribution of the partition function modulo \(m\)
- Congruence properties for the partition function
- ELEMENTARY PROOFS OF PARITY RESULTS FOR 5-REGULAR PARTITIONS
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