Arithmetic properties of \(l\)-regular partitions and \(l\)-regular bipartitions

DOI10.1007/S12215-024-01082-8MaRDI QIDQ6655832

B. R. Srivatsa Kumar, Shruthi

Publication date: 27 December 2024

Published in: Rendiconti del Circolo Matematico di Palermo (Search for Journal in Brave)

zbMATH Keywords

\(q\)-identitycontinued fractionpartition congruence\(l\)-regular bipartition\(l\)-regular partition

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Analytic theory of partitions (11P82)

Cites Work

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• New congruences for \(\ell \)-regular partitions for \(\ell \in \{5,6,7,49\}\)
• Quadratic forms and congruences for \(\ell\)-regular partitions modulo 3, 5 and 7
• Arithmetic of the 7-regular bipartition function modulo 3
• Arithmetic of the 13-regular partition function modulo 3
• Arithmetic properties of partitions with even parts distinct
• Infinite families of infinite families of congruences for \(k\)-regular partitions
• \(l\)-divisibility of \(l\)-regular partition functions
• Theorems stated by Ramanujan. VII: Theorems on continued fractions.
• On \(\ell \)-regular bipartitions modulo \(\ell \)
• Congruences of \(\ell\)-regular partition triples for \(\ell\in\{2, 3, 4, 5\}\)
• An infinite family of congruences modulo 3 for 13-regular bipartitions
• Parity results for 7-regular and 23-regular partitions
• ELEMENTARY PROOFS OF PARITY RESULTS FOR 5-REGULAR PARTITIONS

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