On the number of even and odd strings along the overpartitions of \(n\)

DOI10.1007/s00013-014-0636-2zbMath1305.11086arXiv1309.3669OpenAlexW1979363095WikidataQ114232148 ScholiaQ114232148MaRDI QIDQ2453485

Eunmi Kim, Jeehyeon Seo, Byungchan Kim

Publication date: 6 June 2014

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.3669

zbMATH Keywords

circle methodranksstringsoverpartitionscrankspositive momentspartial theta functions

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Analytic theory of partitions (11P82)

Related Items

The first positive rank and crank moments for overpartitions ⋮ Integer partitions, probabilities and quantum modular forms ⋮ Ramanujan-type partial theta identities and rank differences for special unimodal sequences ⋮ On spt-crank-type functions ⋮ Inequalities for ranks of partitions and the first moment of ranks and cranks of partitions ⋮ Asymptotics of higher order ospt-functions for overpartitions

Cites Work

• The first positive rank and crank moments for overpartitions
• Higher order spt-functions
• Rank and crank moments for overpartitions
• Relations between the ranks and cranks of partitions
• The odd moments of ranks and cranks
• The number of smallest parts in the partitions of n
• Dyson’s crank of a partition
• Overpartitions
• Asymptotic Partition Formulae: (II) Weighted Partitions
• Asymptotic inequalities for positive crank and rank moments

This page was built for publication: On the number of even and odd strings along the overpartitions of \(n\)