Uniform Asymptotic Formulas of Ranks and Cranks for Cubic Partitions

In this paper, we establish uniform asymptotic formulas for the rank and crank statistics of cubic partitions. This partly improves upon the asymptotic results established by Kim–Kim–Nam in 2016.

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Bibliographic Details
Published in:Bulletin of the Malaysian Mathematical Sciences Society 2024-07, Vol.47 (4), Article 133
Main Authors: Lu, Rongying, Zhou, Nian Hong
Format: Article
Language:English
Subjects:
Applications of Mathematics
Asymptotic properties
Eccentrics
Mathematics
Mathematics and Statistics
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Description
Summary:In this paper, we establish uniform asymptotic formulas for the rank and crank statistics of cubic partitions. This partly improves upon the asymptotic results established by Kim–Kim–Nam in 2016.
ISSN:0126-6705
2180-4206
DOI:10.1007/s40840-024-01729-w