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Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.jmaa.2005.05.015
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dc.titleCircular summation of theta functions in Ramanujan's Lost Notebook
dc.contributor.authorChan, H.H.
dc.contributor.authorLiu, Z.-G.
dc.contributor.authorNg, S.T.
dc.date.accessioned2014-10-28T02:32:04Z
dc.date.available2014-10-28T02:32:04Z
dc.date.issued2006-04-15
dc.identifier.citationChan, H.H., Liu, Z.-G., Ng, S.T. (2006-04-15). Circular summation of theta functions in Ramanujan's Lost Notebook. Journal of Mathematical Analysis and Applications 316 (2) : 628-641. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jmaa.2005.05.015
dc.identifier.issn0022247X
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/102988
dc.description.abstractIn this paper, we prove Ramanujan's circular summation formulas previously studied by S.S. Rangachari, S.H. Son, K. Ono, S. Ahlgren and K.S. Chua using properties of elliptic and theta functions. We also derive identities similar to Ramanujan's summation formula and connect these identities to Jacobi's and Dixon's elliptic functions. At the end of the paper, we discuss the connection of our results with the recent thesis of E. Conrad. © 2005 Elsevier Inc. All rights reserved.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1016/j.jmaa.2005.05.015
dc.sourceScopus
dc.subjectCircular summation
dc.subjectDixon
dc.subjectElliptic
dc.subjectJacobi
dc.subjectRamanujan
dc.subjectTheta
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.doi10.1016/j.jmaa.2005.05.015
dc.description.sourcetitleJournal of Mathematical Analysis and Applications
dc.description.volume316
dc.description.issue2
dc.description.page628-641
dc.identifier.isiut000236078700019
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