RANK DIFFERENCES FOR OVERPARTITIONS

DOI10.1093/qmath/ham031zbMath1153.11052arXivmath/0703326OpenAlexW2950892393MaRDI QIDQ3516848

Jeremy Lovejoy, Robert Osburn

Publication date: 11 August 2008

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703326

zbMATH Keywords

modular functionsoverpartitionsgeneralized Lambert seriesgenerating functions for rank differences

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 (29)

Using periodicity to obtain partition congruences ⋮ Exotic Bailey-Slater spt-functions. II: Hecke-Rogers-type double sums and Bailey pairs from groups A, C, E ⋮ Congruences for restricted plane overpartitions modulo 4 and 8 ⋮ Exotic Bailey–Slater spt-functions III: Bailey pairs from groups B, F, G, and J ⋮ Inequalities between overpartition ranks for all moduli ⋮ Exotic Bailey-Slater spt-functions. I: Group A. ⋮ The spt-crank for overpartitions ⋮ A proof of some conjectures of Mao on partition rank inequalities ⋮ Ranks of overpartitions modulo 6 and 10 ⋮ Ramanujan-type partial theta identities and rank differences for special unimodal sequences ⋮ Efficient computation of the overpartition function and applications ⋮ A characterization of congruences modulo 4 on a SPT function of overpartitions ⋮ On recursions for coefficients of mock theta functions ⋮ Rank differences for overpartitions modulo $6$ ⋮ Ranks of overpartitions modulo 4 and 8 ⋮ Another SPT crank for the number of smallest parts in overpartitions with even smallest part ⋮ On total number parts functions associated to ranks of overpartitions ⋮ Dyson’s rank, overpartitions, and universal mock theta functions ⋮ Dyson's ranks and Appell-Lerch sums ⋮ The nonholomorphic parts of certain weak Maass forms ⋮ Mock modularity of the \(M_{d}\)-rank of overpartitions ⋮ Overpartition rank differences modulo 7 by Maass forms ⋮ Monotonicity properties for ranks of overpartitions ⋮ Ranks of partitions modulo 10 ⋮ \(M_2\)-ranks of overpartitions modulo 6 and 10 ⋮ \(M_2\)-rank differences for partitions without repeated odd parts ⋮ Ranks, cranks for overpartitions and Appell-Lerch sums ⋮ The rank of a unimodal sequence and a partial theta identity of Ramanujan ⋮ Ranks of overpartitions: asymptotics and inequalities

This page was built for publication: RANK DIFFERENCES FOR OVERPARTITIONS