On the total number of ones of partitions associated to cranks

DOI10.1007/s13398-023-01496-6MaRDI QIDQ6085343

Olivia X. M. Yao, Ernest X. W. Xia, Fan Yan

Publication date: 8 November 2023

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

zbMATH Keywords

partitioncrankrankpartition statisticsAndrews-Beck type congruences

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Related Items (1)

Some identities for Lin-Peng-Toh's \(k\)-colored partition statistic

Cites Work

• Unnamed Item
• Unnamed Item
• 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
• 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
• New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
• 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
• Ramanujan's Lost Notebook
• A proof of Mao's conjecture on an identity of Beck's partition statistics
• Andrews-Beck type congruences modulo 2 and 4 for Beck's partition statistics

This page was built for publication: On the total number of ones of partitions associated to cranks