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Article: On the Andrews-Zagier asymptotics for partitions without sequences

TitleOn the Andrews-Zagier asymptotics for partitions without sequences
Authors
Bringmann, KKane, BRParry, DRhoades, R
KeywordsAndrews–Zagier asymptotics
Hypergeometric series
Wright functions
Issue Date2017
PublisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/aim
Citation
Advances in Mathematics, 2017, v. 309, p. 436-451 How to Cite?
DOI: http://dx.doi.org/10.1016/j.aim.2017.01.012
AbstractIn this paper, we establish asymptotics of radial limits for certain functions of Wright. These functions appear in bootstrap percolation and the generating function for partitions without sequences of k consecutive part sizes. We specifically establish asymptotics numerically obtained by Zagier in the case k=3.
Persistent Identifierhttp://hdl.handle.net/10722/238657
ISSN
0001-8708
2023 Impact Factor: 1.5
2023 SCImago Journal Rankings: 2.022
ISI Accession Number ID
WOS:000409293400010

 

DC FieldValueLanguage
dc.contributor.authorBringmann, K-
dc.contributor.authorKane, BR-
dc.contributor.authorParry, D-
dc.contributor.authorRhoades, R-
dc.date.accessioned2017-02-20T01:24:25Z-
dc.date.available2017-02-20T01:24:25Z-
dc.date.issued2017-
dc.identifier.citationAdvances in Mathematics, 2017, v. 309, p. 436-451-
dc.identifier.issn0001-8708-
dc.identifier.urihttp://hdl.handle.net/10722/238657-
dc.description.abstractIn this paper, we establish asymptotics of radial limits for certain functions of Wright. These functions appear in bootstrap percolation and the generating function for partitions without sequences of k consecutive part sizes. We specifically establish asymptotics numerically obtained by Zagier in the case k=3.-
dc.languageeng-
dc.publisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/aim-
dc.relation.ispartofAdvances in Mathematics-
dc.rightsThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.-
dc.subjectAndrews–Zagier asymptotics-
dc.subjectHypergeometric series-
dc.subjectWright functions-
dc.titleOn the Andrews-Zagier asymptotics for partitions without sequences-
dc.typeArticle-
dc.identifier.emailKane, BR: bkane@hku.hk-
dc.identifier.authorityKane, BR=rp01820-
dc.description.naturepostprint-
dc.identifier.doi10.1016/j.aim.2017.01.012-
dc.identifier.scopuseid_2-s2.0-85010903466-
dc.identifier.hkuros271165-
dc.identifier.volume309-
dc.identifier.spage436-
dc.identifier.epage451-
dc.identifier.isiWOS:000409293400010-
dc.publisher.placeUnited Kingdom-
dc.identifier.issnl0001-8708-

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