Congruences for some \(l\)-regular partitions modulo \(l\)

DOI10.1016/j.jnt.2014.12.026zbMath1387.11076OpenAlexW2057686818MaRDI QIDQ2406729

Ernest X. W. Xia

Publication date: 5 October 2017

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.12.026

zbMATH Keywords

congruencestheta function identities\(l\)-regular partitions

Mathematics Subject Classification ID

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

Related Items (17)

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 ⋮ Unnamed Item ⋮ New parity results for 3-regular partitions ⋮ 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 ⋮ On \(\ell \)-regular bipartitions modulo \(\ell \) ⋮ Arithmetic properties for 7-regular partition triples ⋮ Congruences modulo 9 for singular overpartitions ⋮ Arithmetic properties of 7-regular partitions ⋮ Some congruences for $(s,t)$-regular bipartitions modulo $t$ ⋮ On \((\ell,m)\)-regular bipartition triples ⋮ On 3-divisibility of 9- and 27-regular partitions

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