Efficient computation of the overpartition function and applications

DOI10.1016/j.jmaa.2023.127472zbMath1529.11106arXiv2303.15895OpenAlexW4379383238MaRDI QIDQ6115647

Adrian Barquero-Sanchez, Eduardo Salas-Jimenez, Nathan C. Ryan, Nicolás Sirolli, Jean Carlos Villegas-Morales, Gabriel Collado-Valverde

Publication date: 10 August 2023

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

Full work available at URL: https://arxiv.org/abs/2303.15895

zbMATH Keywords

congruencesoverpartitionsHardy-Ramanujan-Rademacher

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Forms of half-integer weight; nonholomorphic modular forms (11F37) Elementary theory of partitions (11P81)

Cites Work

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• Ramanujan-type congruences for overpartitions modulo 5
• Congruences modulo 9 and 27 for overpartitions
• Rank and crank moments for overpartitions
• Über die Kloostermanschen Summen \(S(u,v;q)\)
• Log-concavity of the overpartition function
• Overpartitions related to the mock theta function $\omega (q)$
• RANK DIFFERENCES FOR OVERPARTITIONS
• Overpartitions
• Congruence properties for the partition function
• OVERPARTITIONS RELATED TO THE MOCK THETA FUNCTION
• Congruences satisfied by eta-quotients
• Dyson’s rank, overpartitions, and universal mock theta functions
• Efficient implementation of the Hardy–Ramanujan–Rademacher formula
• CONGRUENCES FOR THE COEFFICIENTS OF WEAKLY HOLOMORPHIC MODULAR FORMS
• On the Partition Function p (n )
• On the Coefficients of Certain Modular Forms Belonging to Subgroups of The Modular Group
• Theorems on Dedekind Sums
• Distinct partitions and overpartitions

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