Arithmetic properties of 5-regular bipartitions

DOI10.1142/S179304211750049XzbMath1381.11101OpenAlexW2528120114MaRDI QIDQ2978907

B. Hemanthkumar, Megadahalli S. Mahadeva Naika

Publication date: 2 May 2017

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

Full work available at URL: https://doi.org/10.1142/s179304211750049x

zbMATH Keywords

partitionscongruencesregular bipartitions

Mathematics Subject Classification ID

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

Related Items (10)

Congruences for \(\ell\)-regular cubic partition pairs ⋮ On \(\ell \)-regular cubic partitions with odd parts overlined ⋮ Congruences for \((s, t)\)-regular bipartition quadruples ⋮ Some new congruences for Andrews' singular overpartition pairs ⋮ On 5-regular bipartitions with even parts distinct ⋮ On \((\ell,m)\)-regular bipartition triples ⋮ On some infinite families of congruences for \([j, k\)-partitions into even parts distinct] ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• Arithmetic properties of \(\ell\)-regular partitions
• Arithmetic of the 7-regular bipartition function modulo 3
• Color partition identities arising from Ramanujan's theta-functions
• Analogues of Ramanujan's partition identities and congruences arising from his theta functions and modular equations
• Arithmetic properties of bipartitions with even parts distinct
• An infinite family of congruences modulo 3 for 13-regular bipartitions
• ELEMENTARY PROOFS OF PARITY RESULTS FOR 5-REGULAR PARTITIONS
• Ramanujan Congruences for p_-k(n)
• Identities and Congruences of the Ramanujan Type

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