Arithmetic of the 7-regular bipartition function modulo 3

DOI10.1007/s11139-013-9542-7zbMath1328.05012OpenAlexW2052398369MaRDI QIDQ496330

Bernard L. S. Lin

Publication date: 21 September 2015

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-013-9542-7

zbMATH Keywords

congruencemodular equationregular partitionregular bipartition

Mathematics Subject Classification ID

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

Related Items (19)

Comment on ``Some congruence properties of a restricted bipartition function \(c_N(n)\) ⋮ 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 modulo powers of 5 for two restricted bipartitions ⋮ Parity results for 13-regular partitions and broken 6-diamond partitions ⋮ On \(\ell \)-regular bipartitions modulo \(\ell \) ⋮ Arithmetic properties of 5-regular bipartitions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Arithmetic properties of a restricted bipartition function ⋮ Arithmetic properties for two restricted partitions modulo powers of 5 ⋮ Some congruences for $(s,t)$-regular bipartitions modulo $t$ ⋮ On \((\ell,m)\)-regular bipartition triples ⋮ Unnamed Item ⋮ ARITHMETIC PROPERTIES OF -REGULAR BIPARTITIONS

Cites Work

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• Congruences for the number of \(k\)-tuple partitions with distinct even parts
• Arithmetic properties of \(\ell\)-regular partitions
• Parity results for 9-regular partitions
• On the number of partitions with distinct even parts
• Arithmetic of the 13-regular partition function modulo 3
• Arithmetic properties of partitions with even parts distinct
• Congruences for \(\ell\)-regular partition functions modulo 3
• The \(p^{a}\)-regular partition function modulo \(p^{j}\)
• Arithmetic properties of bipartitions with even parts distinct
• \(l\)-divisibility of \(l\)-regular partition functions
• Divisibility of certain partition functions by powers of primes
• The 2-adic behavior of the number of partitions into distinct parts
• ARITHMETIC OF ℓ-REGULAR PARTITION FUNCTIONS
• THE NUMBER OF PARTITIONS INTO DISTINCT PARTS MODULO POWERS OF 5
• The arithmetic of partitions into distinct parts
• ELEMENTARY PROOFS OF PARITY RESULTS FOR 5-REGULAR PARTITIONS
• Divisibility and distribution of partitions into distinct parts

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