On total number parts functions associated to ranks of overpartitions

DOI10.1016/j.jmaa.2021.125715zbMath1483.11234OpenAlexW3203648661MaRDI QIDQ2235841

Renrong Mao

Publication date: 22 October 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125715

zbMATH Keywords

Andrews-Beck type congruences\( M_2\)-rank for overpartition\(D\)-rank for overpartitiontotal number parts functions

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (8)

Proofs of some conjectures of Chan-Mao-Osburn on Beck's partition statistics ⋮ A proof of Mao's conjecture on an identity of Beck's partition statistics ⋮ On the total number of ones of partitions associated to cranks ⋮ Proofs of two conjectural Andrews–Beck type congruences due to Lin, Peng and Toh ⋮ Some identities on Beck's partition statistics ⋮ Andrews-Beck type congruences modulo 2 and 4 for Beck's partition statistics ⋮ Congruences for Andrews-Beck partition statistics modulo powers of primes ⋮ A modular approach to Andrews-Beck partition statistics

Cites Work

• Unnamed Item
• Rank and conjugation for a second Frobenius representation of an overpartition
• \(M_2\)-rank differences for partitions without repeated odd parts
• Variations of Andrews-Beck type congruences
• Weighted generalized crank moments for \(k\)-colored partitions and Andrews-Beck type congruences
• Rank and conjugation for the Frobenius representation of an overpartition
• RANK DIFFERENCES FOR OVERPARTITIONS
• Generalized Lambert series identities
• Some Properties of Partitions
• The Ramanujan–Dyson identities and George Beck’s congruence conjectures

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