Inequalities between overpartition ranks for all moduli

DOI10.1007/s11139-021-00436-5zbMath1498.11208arXiv2011.02984OpenAlexW3163255682MaRDI QIDQ2146482

Emil-Alexandru Ciolan

Publication date: 16 June 2022

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.02984

zbMATH Keywords

asymptoticscircle methodKloosterman sumsoverpartitionsrank inequalitiesDyson's rank

Mathematics Subject Classification ID

Applications of the Hardy-Littlewood method (11P55) Analytic theory of partitions (11P82)

Related Items (1)

Strict log-subadditivity for overpartition rank

Cites Work

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• The ranks of partitions modulo 2
• The ranks and cranks of partitions moduli 2, 3, and 4
• Ranks of overpartitions modulo 6 and 10
• Inequalities for differences of Dyson's rank for all odd moduli
• Ranks of overpartitions: asymptotics and inequalities
• Rank and conjugation for the Frobenius representation of an overpartition
• Some Properties of Partitions
• RANK DIFFERENCES FOR OVERPARTITIONS
• Asymptotics for rank partition functions
• Dyson’s crank of a partition
• Overpartitions
• Ranks of overpartitions modulo 4 and 8
• Asymptotics and inequalities for partitions into squares
• Dyson's Rank, Overpartitions, and Weak Maass Forms
• Some Properties of Partitions
• Overpartition rank differences modulo 7 by Maass forms

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