Congruences of \(\ell\)-regular partition triples for \(\ell\in\{2, 3, 4, 5\}\)

DOI10.1007/s40306-017-0206-3zbMath1427.11106OpenAlexW2609655626MaRDI QIDQ2405034

Chayanika Boruah, Nipen Saikia

Publication date: 21 September 2017

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-017-0206-3

zbMATH Keywords

Ramanujan's theta-functions\(q\)-series identities\(\ell\)-regular partitionpartition congruencepartition triples

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)

Related Items (3)

Arithmetic properties of 3-regular 6-tuple partitions ⋮ Arithmetic properties for 7-regular partition triples ⋮ Some new congruences for \((j, k)\)-regular bipartition triples

Cites Work

• Unnamed Item
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• Analogues of Ramanujan's partition identities
• Identities and congruences for the general partition and Ramanujan's tau functions
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• Parity results for 9-regular partitions
• Arithmetic properties of overpartition triples
• Arithmetic of the 13-regular partition function modulo 3
• Infinite families of infinite families of congruences for \(k\)-regular partitions
• \(l\)-divisibility of \(l\)-regular partition functions
• Congruences modulo \(p^2\) and \(p^3\) for \(k\) dots bracelet partitions with \(k = m p^s\)
• Parity results for 7-regular and 23-regular partitions
• ARITHMETIC OF ℓ-REGULAR PARTITION FUNCTIONS
• ELEMENTARY PROOFS OF PARITY RESULTS FOR 5-REGULAR PARTITIONS
• A PROOF OF KEITH'S CONJECTURE FOR 9-REGULAR PARTITIONS MODULO 3

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