Ranks of overpartitions modulo 6 and 10

DOI10.1016/j.jnt.2017.08.021zbMath1420.11134OpenAlexW2946312306MaRDI QIDQ1677494

Helen W. J. Zhang, Kathy Qing Ji, Alice Xiao Hua Zhao

Publication date: 21 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2017.08.021

zbMATH Keywords

modular functionmock theta functionoverpartitionDyson's rankgeneralized \(\eta\)-functionrank difference

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (5)

Inequalities between overpartition ranks for all moduli ⋮ Rank differences for overpartitions modulo $6$ ⋮ Ranks of overpartitions modulo 4 and 8 ⋮ Ranks, cranks for overpartitions and Appell-Lerch sums ⋮ Ranks of overpartitions: asymptotics and inequalities

Cites Work

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• Overpartition rank differences modulo 7 by Maass forms

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