Congruences modulo \(4\) for the number of \(3\)-regular partitions

DOI10.5802/crmath.512MaRDI QIDQ6122536

Mircea Merca, Cristina M. Ballantine

Publication date: 1 March 2024

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

partitionscongruencesregular partitions

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Congruences for modular and (p)-adic modular forms (11F33)

Cites Work

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• Parity results for 9-regular partitions
• Arithmetic of the 13-regular partition function modulo 3
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• An algorithmic approach to Ramanujan's congruences
• New Ramanujan-like congruences modulo powers of 2 and 3 for overpartitions
• Arithmetic properties of 7-regular partitions
• Congruences for some \(l\)-regular partitions modulo \(l\)
• Parity of the coefficients of certain eta-quotients
• CONGRUENCE PROPERTIES MODULO 5 AND 7 FOR THE pod FUNCTION
• ARITHMETIC OF ℓ-REGULAR PARTITION FUNCTIONS
• ELEMENTARY PROOFS OF PARITY RESULTS FOR 5-REGULAR PARTITIONS
• ARITHMETIC PROPERTIES OF -REGULAR BIPARTITIONS
• New parity results for 3-regular partitions

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