Congruences for the number of partitions and bipartitions with distinct even parts

DOI10.1016/j.disc.2014.10.013zbMath1303.11114arXiv1404.5404OpenAlexW2048265501MaRDI QIDQ482219

Haobo Dai

Publication date: 19 December 2014

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.5404

zbMATH Keywords

congruencesbinary quadratic formspartitions and bipartitions with even parts distinct

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (9)

Arithmetic properties for \((s,t)\)-regular bipartition functions ⋮ Congruences for \((s, t)\)-regular bipartition quadruples ⋮ The number of partitions with distinct even parts revisited ⋮ Congruences for \(\ell\)-regular partitions and bipartitions ⋮ Unnamed Item ⋮ On \((\ell,m)\)-regular bipartition triples ⋮ On some infinite families of congruences for \([j, k\)-partitions into even parts distinct] ⋮ Some new congruences for (s,t)-regular bipartition functions ⋮ Congruences for \(\ell\)-regular overpartitions into odd parts

Cites Work

• Unnamed Item
• Congruences for the number of \(k\)-tuple partitions with distinct even parts
• On the number of partitions with distinct even parts
• Arithmetic properties of bipartitions with even parts distinct
• Ramanujan's identities and representation of integers by certain binary and quaternary quadratic forms
• Arithmetic properties of partitions with odd parts distinct
• The 2-adic behavior of the number of partitions into distinct parts
• The overpartition function modulo small powers of 2
• Partial Fractions and Four Classical Theorems of Number Theory

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