Weighted partition rank and crank moments. III. A list of Andrews–Beck type congruences modulo 5, 7, 11 and 13

DOI10.1142/S1793042122500117zbMath1491.11095OpenAlexW3178477165MaRDI QIDQ5025443

Shane Chern

Publication date: 2 February 2022

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

Full work available at URL: https://doi.org/10.1142/s1793042122500117

zbMATH Keywords

partitioncrankrankweighted momentAndrews-Beck type congruence

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Elementary theory of partitions (11P81)

Related Items (12)

Andrews-Beck type congruences for overpartitions ⋮ Proofs of some conjectures of Chan-Mao-Osburn on Beck's partition statistics ⋮ On the total number of parts functions associated with ranks of partitions modulo 5 and 7 ⋮ 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 ⋮ Some identities for Lin-Peng-Toh's \(k\)-colored partition statistic ⋮ Proof of a Lin-Peng-Toh's conjecture on an Andrews-Beck type congruence

Cites Work

• Unnamed Item
• Relations between the ranks and cranks of partitions
• Variations of Andrews-Beck type congruences
• Weighted partition rank and crank moments. II: Odd-order moments
• Dyson’s crank of a partition
• Some Properties of Partitions
• The Ramanujan–Dyson identities and George Beck’s congruence conjectures

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