scientific article; zbMATH DE number 7709861

zbMath1524.11182MaRDI QIDQ6168514

V. Puneeth, Anirban Roy

Publication date: 11 July 2023

Full work available at URL: https://rsmams.org/journals/articleinfo.php?articleid=759&tag=seajmams

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zbMATH Keywords

\(q\)-seriescongruencesinteger partitionsbipartition triples

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Elementary theory of partitions (11P81) Analytic theory of partitions (11P82) Partition identities; identities of Rogers-Ramanujan type (11P84)

Cites Work

• Congruences for (3,11)-regular bipartitions modulo 11
• Arithmetic properties of \(\ell\)-regular partitions
• Congruences for the number of partitions and bipartitions with distinct even parts
• Arithmetic of the 7-regular bipartition function modulo 3
• Arithmetic properties of bipartitions with even parts distinct
• New congruences modulo 2, 4, and 8 for the number of tagged parts over the partitions with designated summands
• Congruences modulo \(p^2\) and \(p^3\) for \(k\) dots bracelet partitions with \(k = m p^s\)
• An infinite family of congruences modulo 3 for 13-regular bipartitions

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