Proofs of two conjectural Andrews–Beck type congruences due to Lin, Peng and Toh

DOI10.1142/s1793042123500677zbMath1526.11058MaRDI QIDQ6107937

Julia Q. D. Du, Dazhao Tang

Publication date: 28 June 2023

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

zbMATH Keywords

partitionsmodular forms\(k\)-colored partitionsAndrews-Beck type congruences

Mathematics Subject Classification ID

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

Related Items (2)

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
• 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
• 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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