Asymptotic distribution of the partition crank

DOI10.1007/s11139-021-00477-wzbMath1486.11124arXiv1909.12806OpenAlexW3196624608MaRDI QIDQ2054704

Asimina Hamakiotes, Wei-Lun Tsai, Aaron Kriegman

Publication date: 3 December 2021

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

Full work available at URL: https://arxiv.org/abs/1909.12806

zbMATH Keywords

crankeffective equidistributionlog-subadditivity

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Analytic theory of partitions (11P82)

Related Items (1)

Strict log-subadditivity for overpartition rank

Uses Software

• DLMF

Cites Work

• Maximal multiplicative properties of partitions
• Asymptotics of crank generating functions and Ramanujan congruences
• Distribution of the partition function modulo \(m\)
• Effective bounds for the Andrews spt-function
• Cranks and t-cores
• Dyson’s crank of a partition
• Singular moduli and the distribution of partition ranks modulo 2
• Proof of a conjecture of Ramanujan
• Some Properties of Partitions

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