Congruences for 5-regular partitions modulo powers of 5

DOI10.1007/s11139-015-9767-8zbMath1385.05021OpenAlexW2295522044MaRDI QIDQ681067

Liuquan Wang

Publication date: 30 January 2018

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

Full work available at URL: https://doi.org/10.1007/s11139-015-9767-8

zbMATH Keywords

partitionscongruencesregular partitions

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 (13)

Congruences for a class of eta-quotients and their applications ⋮ 6-regular partitions: new combinatorial properties, congruences, and linear inequalities ⋮ Congruences modulo \(4\) for the number of \(3\)-regular partitions ⋮ Congruences modulo powers of 5 for two restricted bipartitions ⋮ Arithmetic properties for 7-regular partition triples ⋮ Congruences for Fourier coefficients of eta‐quotients modulo powers of 5, 7, 11, 13, and 17 ⋮ On 3-regular tripartitions ⋮ Arithmetic properties of 7-regular partitions ⋮ Congruences modulo powers of 11 for some eta-quotients ⋮ Congruences modulo powers of 11 for some partition functions ⋮ ARITHMETIC PROPERTIES OF 3-REGULAR PARTITIONS IN THREE COLOURS ⋮ ARITHMETIC PROPERTIES OF -REGULAR BIPARTITIONS ⋮ On 3-divisibility of 9- and 27-regular partitions

Cites Work

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• 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
• Proof of a conjecture of Ramanujan
• Divisibility and distribution of partitions into distinct parts

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