ASYMPTOTICS FOR MOMENTS OF HIGHER RANKS

DOI10.1142/S1793042112501552zbMath1335.11087arXiv1205.2904MaRDI QIDQ4918854

Matthias Waldherr

Publication date: 6 May 2013

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.2904

zbMATH Keywords

partitionsasymptoticscircle methodranksmock Jacobi forms

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Applications of the Hardy-Littlewood method (11P55) Analytic theory of partitions (11P82)

Related Items (4)

Asymptotics for rank moments of overpartitions ⋮ Asymptotic formulas related to the \(M_2\)-rank of partitions without repeated odd parts ⋮ Asymptotic inequalities for \(k\)-ranks and their cumulation functions ⋮ On Dyson’s crank distribution conjecture and its generalizations

Uses Software

• DLMF

Cites Work

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• Higher order spt-functions
• On the explicit construction of higher deformations of partition statistics
• Generalization of Dyson's rank and non-Rogers-Ramanujan partitions
• Relations between the ranks and cranks of partitions
• Zagier-type dualities and lifting maps for harmonic Maass-Jacobi forms
• An extension of the Hardy-Ramanujan circle method and applications to partitions without sequences
• The number of smallest parts in the partitions of n
• CONGRUENCES FOR ANDREWS' SMALLEST PARTS PARTITION FUNCTION AND NEW CONGRUENCES FOR DYSON'S RANK
• Dyson’s crank of a partition
• Asymptotics for rank and crank moments
• Inequalities between ranks and cranks
• Some Properties of Partitions

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