ON THE DISTRIBUTION OF THE RANK STATISTIC FOR STRONGLY CONCAVE COMPOSITIONS
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Publication:5232881
DOI10.1017/S0004972719000169zbMath1454.11184arXiv1810.12493OpenAlexW2964066825MaRDI QIDQ5232881
Publication date: 13 September 2019
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.12493
Combinatorial aspects of partitions of integers (05A17) Asymptotic enumeration (05A16) Analytic theory of partitions (11P82)
Related Items (1)
Cites Work
- Asymptotics for \(q\)-expansions involving partial theta functions
- Mappings and symmetries of partitions
- Asymptotic inequalities for \(k\)-ranks and their cumulation functions
- Concave and convex compositions
- Modularity of the concave composition generating function
- Asymptotic formulas for coefficients of inverse theta functions
- On Dyson’s crank conjecture and the uniform asymptotic behavior of certain inverse theta functions
- On Dyson’s crank distribution conjecture and its generalizations
- An extension of the Hardy-Ramanujan circle method and applications to partitions without sequences
- New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
- Dyson’s crank of a partition
- Asymptotic formulae for partition ranks
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