Rough values of Piatetski-Shapiro sequences

dc.citation.issueNumber1en_US
dc.citation.volumeNumber185en_US
dc.contributor.authorAkbal, Y.en_US
dc.date.accessioned2019-02-21T16:07:10Z
dc.date.available2019-02-21T16:07:10Z
dc.date.issued2018en_US
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractAn integer is called y-rough if it is composed solely of primes CloseSPigtSPi y. Let ⌊. ⌋ be the floor function. In this paper, we exhibit an asymptotic formula for the counting function of integers n⩽ x such that ⌊ nc⌋ is y-rough uniformly for a range of y that depends on 1 OpenSPiltSPi cOpenSPiltSPi 2229 / 1949.
dc.identifier.doi10.1007/s00605-016-0993-y
dc.identifier.issn0026-9255
dc.identifier.urihttp://hdl.handle.net/11693/50350
dc.language.isoEnglish
dc.publisherSpringer-Verlag Wien
dc.relation.isversionofhttps://doi.org/10.1007/s00605-016-0993-y
dc.source.titleMonatshefte fur Mathematiken_US
dc.subjectExponential sumsen_US
dc.subjectPiatetski-Shapiro sequencesen_US
dc.subjectRough numbersen_US
dc.titleRough values of Piatetski-Shapiro sequencesen_US
dc.typeArticleen_US
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