On Waring-Goldbach problem with Piatetski-Shapiro primes

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buir.contributor.authorGüloğlu, Ahmet M.
buir.contributor.authorAkbal, Yıldırım
dc.citation.epage92en_US
dc.citation.spage80en_US
dc.citation.volumeNumber185en_US
dc.contributor.authorAkbal, Yıldırımen_US
dc.contributor.authorGüloğlu, Ahmet M.en_US
dc.date.accessioned2019-02-21T16:01:45Z
dc.date.available2019-02-21T16:01:45Z
dc.date.issued2018en_US
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractIn this paper, we show that all sufficiently large natural numbers satisfying certain local conditions can be written as the sum of kth powers of Piatetski-Shapiro primes, thereby establishing a variant of Waring-Goldbach problem with primes from a sparse sequence.
dc.description.provenanceMade available in DSpace on 2019-02-21T16:01:45Z (GMT). No. of bitstreams: 1 Bilkent-research-paper.pdf: 222869 bytes, checksum: 842af2b9bd649e7f548593affdbafbb3 (MD5) Previous issue date: 2018en
dc.embargo.release2020-04-01en_US
dc.identifier.doi10.1016/j.jnt.2017.09.018
dc.identifier.issn0022-314X
dc.identifier.urihttp://hdl.handle.net/11693/49913
dc.language.isoEnglish
dc.publisherAcademic Press
dc.relation.isversionofhttps://doi.org/10.1016/j.jnt.2017.09.018
dc.source.titleJournal of Number Theoryen_US
dc.subjectCircle methoden_US
dc.subjectExponential sumsen_US
dc.subjectPiatetski-Shapiroen_US
dc.subjectVan der Corputen_US
dc.subjectWaring-Goldbachen_US
dc.subjectWeyl sumsen_US
dc.titleOn Waring-Goldbach problem with Piatetski-Shapiro primesen_US
dc.typeArticleen_US

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