Weighted generalized crank moments for \(k\)-colored partitions and Andrews-Beck type congruences
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Publication:2032875
DOI10.1016/j.disc.2021.112450zbMath1478.11122OpenAlexW3161235400MaRDI QIDQ2032875
Pee Choon Toh, Bernard L. S. Lin, Lin Peng
Publication date: 14 June 2021
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.disc.2021.112450
Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Elementary theory of partitions (11P81)
Related Items (8)
Proofs of some conjectures of Chan-Mao-Osburn on 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 ⋮ Some identities for Lin-Peng-Toh's \(k\)-colored partition statistic ⋮ On total number parts functions associated to ranks of overpartitions ⋮ Proof of a Lin-Peng-Toh's conjecture on an Andrews-Beck type congruence
Cites Work
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- Dyson’s crank of a partition
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- Identities and Congruences of the Ramanujan Type
- Some Properties of Partitions
- An Identity for the Coefficients of Certain Modular Forms
- The Ramanujan–Dyson identities and George Beck’s congruence conjectures
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