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dc.contributor.authorBerndt, Bruce C.
dc.contributor.authorRebák, Örs
dc.date.accessioned2022-02-24T10:22:22Z
dc.date.available2022-02-24T10:22:22Z
dc.date.issued2022-01-09
dc.description.abstractThis paper provides a survey of particular values of Ramanujan's theta function φ(q) = ∑ q^(n^2), n = −∞ ... ∞, when q = e^(−π√n), where n is a positive rational number. First, descriptions of the tools used to evaluate theta functions are given. Second, classical values are briefly discussed. Third, certain values due to Ramanujan and later authors are given. Fourth, the methods that are used to determine these values are described. Lastly, an incomplete evaluation found in Ramanujan's lost notebook, but now completed and proved, is discussed with a sketch of its proof.en_US
dc.identifier.citationBerndt, Rebák. Explicit values for Ramanujan's theta function φ(q). Hardy-Ramanujan Journal. 2021;44(1):41-50en_US
dc.identifier.cristinIDFRIDAID 2004699
dc.identifier.doi10.46298/hrj.2022.8923
dc.identifier.issn2804-7370
dc.identifier.urihttps://hdl.handle.net/10037/24129
dc.language.isoengen_US
dc.publisherEpisciencesen_US
dc.relation.journalHardy-Ramanujan Journal
dc.rights.accessRightsopenAccessen_US
dc.rights.holderCopyright 2021 The Author(s)en_US
dc.subjectVDP::Matematikk og naturvitenskap: 400::Matematikk: 410en_US
dc.subjectVDP::Mathematics and natural scienses: 400::Mathematics: 410en_US
dc.subjectMatematikkhistorie / History of Mathematicsen_US
dc.subjectSpørreundersøkelse / Surveyen_US
dc.subjectTalllteori / Number theoryen_US
dc.titleExplicit values for Ramanujan's theta function φ(q)en_US
dc.type.versionpublishedVersionen_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelen_US
dc.typePeer revieweden_US


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