Weighted partition rank and crank moments. II: Odd-order moments

DOI10.1007/s11139-020-00365-9zbMath1486.11127OpenAlexW3130809731MaRDI QIDQ2075065

Shane Chern

Publication date: 11 February 2022

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-020-00365-9

zbMATH Keywords

partitioncrankrankweighted moment

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Elementary theory of partitions (11P81) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (9)

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 ⋮ A modular approach to Andrews-Beck partition statistics ⋮ Some identities for Lin-Peng-Toh's \(k\)-colored partition statistic ⋮ Weighted partition rank and crank moments. III. A list of Andrews–Beck type congruences modulo 5, 7, 11 and 13

Cites Work

• Higher order spt-functions
• Partitions, Durfee symbols, and the Atkin-Garvan moments of ranks
• Relations between the ranks and cranks of partitions
• Dyson’s crank of a partition
• Applications of Basic Hypergeometric Functions
• Partition Statistics and Quasiharmonic Maass Forms
• Some Properties of Partitions
• The Ramanujan–Dyson identities and George Beck’s congruence conjectures
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