Proofs of some conjectures of Chan-Mao-Osburn on Beck's partition statistics
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Publication:2150972
DOI10.1007/s13398-022-01278-6zbMath1495.11119arXiv2203.09826OpenAlexW4283080271WikidataQ113899227 ScholiaQ113899227MaRDI QIDQ2150972
Eric H. Liu, Liu Xin Jin, Ernest X. W. Xia
Publication date: 30 June 2022
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.09826
Related Items (8)
A proof of Mao's conjecture on an identity of Beck's partition statistics ⋮ 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 ⋮ Congruences for Andrews-Beck partition statistics modulo powers of primes ⋮ A modular approach to Andrews-Beck partition statistics ⋮ Some identities for Lin-Peng-Toh's \(k\)-colored partition statistic
Cites Work
- 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
- On total number parts functions associated to ranks of overpartitions
- 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
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