UNIFORM ASYMPTOTIC FORMULAS FOR RESTRICTED BIPARTITE PARTITIONS

DOI10.1017/S0004972720000064zbMath1452.11123arXiv1909.07762OpenAlexW2973919454MaRDI QIDQ5118582

Nian Hong Zhou

Publication date: 26 August 2020

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.07762

zbMATH Keywords

partitionsasymptoticsrestricted partitions

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Asymptotic enumeration (05A16) Analytic theory of partitions (11P82)

Cites Work

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• On the asymptotic distribution of cranks and ranks of cubic partitions
• Mappings and symmetries of partitions
• On pairs of partitions with steadily decreasing parts
• On the distribution of rank and crank statistics for integer partitions
• Generalized Eulerian functions and a problem in partitions
• Restricted bipartite partitions
• A problem in partitions
• On Dyson’s crank conjecture and the uniform asymptotic behavior of certain inverse theta functions
• RAMANUJAN'S CUBIC CONTINUED FRACTION AND AN ANALOG OF HIS "MOST BEAUTIFUL IDENTITY"
• New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
• Dyson’s crank of a partition
• An Extension of Carlitz's Bipartition Identity
• ON THE DISTRIBUTION OF THE RANK STATISTIC FOR STRONGLY CONCAVE COMPOSITIONS

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