Arithmetic properties for \(\ell\)-regular partition functions with distinct even parts

DOI10.1007/s40590-021-00402-7zbMath1493.11145OpenAlexW4205183723MaRDI QIDQ2070494

Rinchin Drema, Nipen Saikia

Publication date: 24 January 2022

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-021-00402-7

zbMATH Keywords

Ramanujan's theta-functionsregular partition\(q\)-series identitiesdistinct even parts

Mathematics Subject Classification ID

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

Cites Work

• Arithmetic properties of \(\ell\)-regular partitions
• New congruences modulo powers of 2 for broken 3-diamond partitions and 7-core partitions
• Color partition identities arising from Ramanujan's theta-functions
• Arithmetic of the 13-regular partition function modulo 3
• Some modular relations for the Göllnitz-Gordon functions by an even-odd method
• Gordon's theorem for overpartitions.
• Congruences for \(\ell\)-regular overpartition for \(\ell \in \{5,6,8\}\)
• New Ramanujan-like congruences modulo powers of 2 and 3 for overpartitions
• General congruences modulo 5 and 7 for colour partitions
• Arithmetic properties of 9-regular partitions with distinct odd parts
• The power of \(q\). A personal journey
• Arithmetic properties of l-regular overpartitions
• ARITHMETIC OF ℓ-REGULAR PARTITION FUNCTIONS
• Arithmetic properties of Ramanujan’s general partition function for modulo 11
• ELEMENTARY PROOFS OF PARITY RESULTS FOR 5-REGULAR PARTITIONS
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