Andrews-Beck type congruences modulo 2 and 4 for Beck's partition statistics

DOI10.1007/s00025-023-01980-wOpenAlexW4385702089MaRDI QIDQ6136243

Xinyuan Zhou, Olivia X. M. Yao, Yu Xuan

Publication date: 29 August 2023

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

Full work available at URL: https://doi.org/10.1007/s00025-023-01980-w

zbMATH Keywords

partitionscrankrankAndrews-Beck-type congruencesBeck's partition statistics

Mathematics Subject Classification ID

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

Related Items (3)

On the total number of ones of partitions associated to cranks ⋮ Some identities on Beck's partition statistics ⋮ Some identities for Lin-Peng-Toh's \(k\)-colored partition statistic

Cites Work

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• Higher order spt-functions
• Partitions, Durfee symbols, and the Atkin-Garvan moments of ranks
• Relations between the ranks and cranks of partitions
• On ranks and cranks of partitions modulo 4 and 8
• On a generalized crank for \(k\)-colored partitions
• Variations of Andrews-Beck type congruences
• Weighted generalized crank moments for \(k\)-colored partitions and Andrews-Beck type congruences
• Weighted partition rank and crank moments. II: Odd-order moments
• 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
• On total number parts functions associated to ranks of overpartitions
• Proof of a Lin-Peng-Toh's conjecture on an Andrews-Beck type congruence
• 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
• The Ramanujan–Dyson identities and George Beck’s congruence conjectures
• A proof of Mao's conjecture on an identity of Beck's partition statistics
• Proofs of two conjectural Andrews–Beck type congruences due to Lin, Peng and Toh

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