Biases among classes of rank-crank partitions (mod 11)

DOI10.1016/j.jmaa.2024.128221arXiv2308.02327OpenAlexW4391850430MaRDI QIDQ6126759

Badri Vishal Pandey, Kathrin Bringmann

Publication date: 10 April 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2308.02327

zbMATH Keywords

partitionscrankinequalitiesasymptoticsrankpartition congruences

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Elementary theory of partitions (11P81)

Cites Work

• Unnamed Item
• Asymptotics of crank generating functions and Ramanujan congruences
• The ranks and cranks of partitions moduli 2, 3, and 4
• Inequalities for differences of Dyson's rank for all odd moduli
• Inequalities for ranks of partitions and the first moment of ranks and cranks of partitions
• Asymptotics for rank partition functions
• New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
• Dyson’s crank of a partition
• Resolution of a conjecture of Andrews and Lewis involving cranks of partitions