Variations of Andrews-Beck type congruences
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Publication:1995924
DOI10.1016/j.jmaa.2020.124771zbMath1464.11106arXiv2005.01272OpenAlexW3023655869MaRDI QIDQ1995924
Song Heng Chan, Renrong Mao, Robert Osburn
Publication date: 25 February 2021
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.01272
\( M_2\)-rank for overpartitions\( M_2\)-rank for partitions without repeated odd partsAndrews-Beck-type congruencesDyson's rank for overpartitionsrank for overpartition pairs
Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)
Related Items (13)
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 ⋮ 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 ⋮ On total number parts functions associated to ranks of overpartitions ⋮ Weighted partition rank and crank moments. III. A list of Andrews–Beck type congruences modulo 5, 7, 11 and 13
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