Asymptotic formulas for \(M_{2}\)-ranks of partitions without repeated odd parts

DOI10.1016/j.jnt.2016.02.003zbMath1334.05011OpenAlexW2315401410WikidataQ114157440 ScholiaQ114157440MaRDI QIDQ273473

Renrong Mao

Publication date: 22 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.02.003

zbMATH Keywords

asymptoticscircle method\(M_2\)-rankpartitions without repeated odd parts

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 (2)

Asymptotic formulas for spt-crank of partitions ⋮ Asymptotic formulas related to the \(M_2\)-rank of partitions without repeated odd parts

Cites Work

• Unnamed Item
• On the distribution of the \textsf{spt}-crank
• Pairs of partitions without repeated odd parts
• Rademacher-type formulas for restricted partition and overpartition functions
• \(M_2\)-rank differences for partitions without repeated odd parts
• Mappings and symmetries of partitions
• Some observations on Dyson's new symmetries of partitions
• Asymptotic inequalities for \(k\)-ranks and their cumulation functions
• The \(M_{2}\)-rank of partitions without repeated odd parts modulo 6 and 10
• On Dyson’s crank conjecture and the uniform asymptotic behavior of certain inverse theta functions
• On Dyson’s crank distribution conjecture and its generalizations
• Eulerian series as modular forms
• New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
• Dyson’s crank of a partition
• Asymptotic Partition Formulae: (II) Weighted Partitions
• Asymptotic formulae for partition ranks
• STACKS (II)
• Some Properties of Partitions

This page was built for publication: Asymptotic formulas for \(M_{2}\)-ranks of partitions without repeated odd parts