Ramanujan's circular summation, t-cores and twisted partition identities

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buir.contributor.authorYeşilyurt, Hamza
dc.citation.epage788en_US
dc.citation.issueNumber1en_US
dc.citation.spage773en_US
dc.citation.volumeNumber479en_US
dc.contributor.authorBerkovich, A.en_US
dc.contributor.authorGarvan, F.en_US
dc.contributor.authorYeşilyurt, Hamzaen_US
dc.date.accessioned2020-02-05T05:33:41Z
dc.date.available2020-02-05T05:33:41Z
dc.date.issued2019
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractIn this paper, we give new evaluations for Ramanujan’s circular summation function. We also provide simpler proofs for known evaluations and give some generalizations. We discover modular relations among circular summation function partition function and give uniform proof of Ramanujan’s partition congruences for the moduli 5, 7 and 11. We also prove several interesting congruence relations.en_US
dc.description.provenanceSubmitted by Onur Emek (onur.emek@bilkent.edu.tr) on 2020-02-05T05:33:41Z No. of bitstreams: 1 Bilkent-research-paper.pdf: 268963 bytes, checksum: ad2e3a30c8172b573b9662390ed2d3cf (MD5)en
dc.description.provenanceMade available in DSpace on 2020-02-05T05:33:41Z (GMT). No. of bitstreams: 1 Bilkent-research-paper.pdf: 268963 bytes, checksum: ad2e3a30c8172b573b9662390ed2d3cf (MD5) Previous issue date: 2019en
dc.embargo.release2021-11-01
dc.identifier.doi10.1016/j.jmaa.2019.06.051en_US
dc.identifier.issn0022-247X
dc.identifier.urihttp://hdl.handle.net/11693/53063
dc.language.isoEnglishen_US
dc.publisherElsevieren_US
dc.relation.isversionofhttps://dx.doi.org/10.1016/j.jmaa.2019.06.051en_US
dc.source.titleJournal of Mathematical Analysis and Applicationsen_US
dc.subjectCircular summationen_US
dc.subjectRamanujan's lost notebooken_US
dc.subjectPartition identitiesen_US
dc.titleRamanujan's circular summation, t-cores and twisted partition identitiesen_US
dc.typeArticleen_US

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