Asymptotics of higher order ospt-functions for overpartitions

DOI10.1007/s00026-015-0296-3zbMath1416.11150arXiv1402.0398OpenAlexW2963094686MaRDI QIDQ259731

Jose Miguel Zapata Rolon

Publication date: 18 March 2016

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.0398

zbMATH Keywords

circle methodoverpartitionsrank/crank-moments

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81) Analytic theory of partitions (11P82)

Related Items (6)

The first positive rank and crank moments for overpartitions ⋮ Higher order smallest parts functions and rank-Crank moment inequalities from Bailey pairs ⋮ Polar harmonic Maass forms and their applications ⋮ Inequalities between first moments of \(M_2\)-rank and crank for overpartitions ⋮ On spt-crank-type functions ⋮ On the non-negativity of the spt-crank for partitions without repeated odd parts

Cites Work

• The first positive rank and crank moments for overpartitions
• Higher order spt-functions
• Asymptotics of crank generating functions and Ramanujan congruences
• On the explicit construction of higher deformations of partition statistics
• Rank and crank moments for overpartitions
• Higher order SPT functions for overpartitions, overpartitions with smallest part even, and partitions with smallest part even and without repeated odd parts
• On the number of even and odd strings along the overpartitions of \(n\)
• The \(f(q)\) mock theta function conjecture and partition ranks
• Rank and conjugation for the Frobenius representation of an overpartition
• Dyson’s crank of a partition
• Overpartitions
• Asymptotic Partition Formulae: (II) Weighted Partitions
• Inequalities between ranks and cranks
• Asymptotic inequalities for positive crank and rank moments
• Some Properties of Partitions

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