Proof of a Lin-Peng-Toh's conjecture on an Andrews-Beck type congruence

DOI10.1016/j.disc.2021.112672zbMath1483.11233OpenAlexW3206915485WikidataQ113877041 ScholiaQ113877041MaRDI QIDQ2237246

Olivia X. M. Yao

Publication date: 27 October 2021

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2021.112672

zbMATH Keywords

partitionscrankrankAndrews-Beck type congruences

Mathematics Subject Classification ID

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

Related Items (6)

Truncated sums for certain restricted partition functions and transformation formulas for basic hypergeometric series ⋮ 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

Cites Work

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• On a generalized crank for \(k\)-colored partitions
• Weighted generalized crank moments for \(k\)-colored partitions and Andrews-Beck type congruences
• On the Ranks of Partitions Modulo 9
• Dyson’s crank of a partition
• Weighted partition rank and crank moments. III. A list of Andrews–Beck type congruences modulo 5, 7, 11 and 13
• Some Properties of Partitions
• The Ramanujan–Dyson identities and George Beck’s congruence conjectures

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