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Weighted partition rank and crank moments. I: Andrews-Beck type congruences

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Publication:6617129
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DOI10.1142/9789811277375_0009MaRDI QIDQ6617129

Shane Chern

Publication date: 10 October 2024





zbMATH Keywords

partitioncrankrankweighted momentAndrews-Beck type congruence


Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Partitions; congruences and congruential restrictions (11P83) Elementary theory of partitions (11P81)



Related Items (4)

Andrews-Beck type congruences modulo arbitrary powers of 5 for 2-colored partitions ⋮ New identities associated with ranks and cranks of partitions modulo 7 ⋮ Some inequalities and equalities on Lin-Peng-Toh's partition statistic for \(k\)-colored partitions ⋮ On the total number of ones associated with cranks of partitions modulo 11






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