ARITHMETIC PROPERTIES OF 3-REGULAR PARTITIONS IN THREE COLOURS

DOI10.1017/S0004972721000411zbMath1490.11102OpenAlexW3171017813MaRDI QIDQ5013852

Robson da Silva, James A. Sellers

Publication date: 3 December 2021

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972721000411

zbMATH Keywords

partitioncongruence3-regularthree colours

Mathematics Subject Classification ID

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

Related Items (3)

PROOF OF SOME CONJECTURAL CONGRUENCES OF DA SILVA AND SELLERS ⋮ On \(m\)-regular partitions in \(k\)-colors ⋮ Arithmetic properties of 5-regular partition in three and five colours

Cites Work

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• Congruences for 5-regular partitions modulo powers of 5
• Partitions in 3 colours
• Parity results for 13-regular partitions and broken 6-diamond partitions
• Infinitely many congruences for \(k\)-regular partitions with designated summands
• On 3-regular partitions in 3-colors
• The power of \(q\). A personal journey
• Congruences for partition functions related to mock theta functions
• THE 7-REGULAR AND 13-REGULAR PARTITION FUNCTIONS MODULO 3
• ELEMENTARY PROOFS OF PARITY RESULTS FOR 5-REGULAR PARTITIONS
• ARITHMETIC PROPERTIES OF -REGULAR BIPARTITIONS

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