Waring-Goldbach problem with Piatetski-Shapiro primes

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dc.citation.epage467en_US
dc.citation.issueNumber2en_US
dc.citation.spage449en_US
dc.citation.volumeNumber30en_US
dc.contributor.authorAkbal, Y.en_US
dc.contributor.authorGüloğlu, A. M.en_US
dc.date.accessioned2019-02-21T16:10:09Z
dc.date.available2019-02-21T16:10:09Z
dc.date.issued2018en_US
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractIn this paper, we exhibit an asymptotic formula for the number of representations of a large integer as a sum of a fixed power 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 2019-02-21T16:10:09Z (GMT). No. of bitstreams: 1 Bilkent-research-paper.pdf: 222869 bytes, checksum: 842af2b9bd649e7f548593affdbafbb3 (MD5) Previous issue date: 2018en
dc.identifier.issn1246-7405
dc.identifier.urihttp://hdl.handle.net/11693/50493
dc.language.isoEnglish
dc.publisherInstitut de Mathematique de Bordeaux
dc.source.titleJournal de Theorie des Nombres de Bordeauxen_US
dc.subjectCircle methoden_US
dc.subjectExponential sumsen_US
dc.subjectPiatetski-Shapiro primesen_US
dc.subjectVan der Corput’s methoden_US
dc.subjectVinogradov’s mean value theoremen_US
dc.subjectWaring-Goldbach problemen_US
dc.subjectWeyl sumsen_US
dc.titleWaring-Goldbach problem with Piatetski-Shapiro primesen_US
dc.typeArticleen_US

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