Some identities on Beck's partition statistics
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Publication:6122736
DOI10.1007/s11139-023-00781-7MaRDI QIDQ6122736
Yong-Qiang Chen, Jing Jin, Olivia X. M. Yao
Publication date: 1 March 2024
Published in: The Ramanujan Journal (Search for Journal in Brave)
Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)
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
- 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
- Some Properties of Partitions
- The Ramanujan–Dyson identities and George Beck’s congruence conjectures
- 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
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