On the number of l-regular overpartitions

DOI10.1142/S1793042121500810zbMath1475.05013OpenAlexW3158116378MaRDI QIDQ5155878

Robert X. J. Hao, Erin Y. Y. Shen

Publication date: 8 October 2021

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042121500810

zbMATH Keywords

partitioncranksingular overpartitionregular overpartition

Mathematics Subject Classification ID

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

Cites Work

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• Congruences for Andrews' singular overpartitions
• Rank and crank moments for overpartitions
• Gordon's theorem for overpartitions.
• Overpartitions and singular overpartitions
• Combinatorial proofs of generating function identities for F-partitions
• New Ramanujan-like congruences modulo powers of 2 and 3 for overpartitions
• An overpartition analogue of the Andrews-Göllnitz-Gordon theorem
• Arithmetic properties of l-regular overpartitions
• The Rogers-Ramanujan-Gordon theorem for overpartitions
• Arithmetic properties of Andrews' singular overpartitions
• Singular overpartitions
• Generalized Frobenius partitions
• New congruences for Andrews' singular overpartitions
• New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
• Dyson’s crank of a partition
• Overpartitions
• Infinite families of congruences for k-regular overpartitions
• New congruences for $\ell$-regular overpartitions

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