Ramanujan-type partial theta identities and rank differences for special unimodal sequences
type: Item
instance of: scholarly article
title: Ramanujan-type partial theta identities and rank differences for special unimodal sequences
zbMATH Open document ID: 1326.05008
author: Byungchan Kim
author: Jeremy Lovejoy
published in: Annals of Combinatorics
publication date: 2015-11-18T00:00:00Z
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 33D15
Mathematics Subject Classification ID: 05A30
Mathematics Subject Classification ID: 33D90
zbMATH DE Number: 6510860
zbMATH Keywords: unimodal sequences
zbMATH Keywords: rank
zbMATH Keywords: partial theta functions
MaRDI profile type: Publication
full work available at URL: s00026-015-0281-x
OpenAlex ID: W2178588152
cites work: Rank generating functions as weakly holomorphic modular forms
cites work: Bailey's transform, lemma, chains and tree
cites work: Partitions, Durfee symbols, and the Atkin-Garvan moments of ranks
cites work: Ramanujan's Lost Notebook
cites work: Some Properties of Partitions
cites work: Q5485643
cites work: Inequalities for differences of Dyson's rank for all odd moduli
cites work: Asymptotic inequalities for positive crank and rank moments
cites work: Asymptotic formulas for stacks and unimodal sequences
cites work: Eulerian series as modular forms
cites work: Inequalities for ranks of partitions and the first moment of ranks and cranks of partitions
cites work: The nonholomorphic parts of certain weak Maass forms
cites work: New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
cites work: Q4828543
cites work: On the subpartitions of the ordinary partitions. II
cites work: On the number of even and odd strings along the overpartitions of \(n\)
cites work: The rank of a unimodal sequence and a partial theta identity of Ramanujan
cites work: On the Rank and the Crank Modulo 4 and 8
cites work: The Components of Modular Forms
cites work: Ramanujan-type partial theta identities and conjugate Bailey pairs
cites work: RANK DIFFERENCES FOR OVERPARTITIONS
cites work: \(M_2\)-rank differences for partitions without repeated odd parts
cites work: M2-rank differences for overpartitions
cites work: Ranks of partitions modulo 10
cites work: On spaces of modular forms spanned by eta-quotients
cites work: On some relations for the rank moduli 9 and 12
cites work: A New Proof of Rogers's Transformations of Infinite Series
cites work: 50 Years of Bailey's lemma
cites work: Partial Theta Functions. I. Beyond the Lost Notebook
cites work: STACKS
cites work: STACKS (II)
DOI: 10.1007/S00026-015-0281-X
description: scientific article; zbMATH DE number 6510860