Rough values of Piatetski-Shapiro sequences
dc.citation.issueNumber | 1 | en_US |
dc.citation.volumeNumber | 185 | en_US |
dc.contributor.author | Akbal, Y. | en_US |
dc.date.accessioned | 2019-02-21T16:07:10Z | |
dc.date.available | 2019-02-21T16:07:10Z | |
dc.date.issued | 2018 | en_US |
dc.department | Department of Mathematics | en_US |
dc.description.abstract | An 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.doi | 10.1007/s00605-016-0993-y | |
dc.identifier.issn | 0026-9255 | |
dc.identifier.uri | http://hdl.handle.net/11693/50350 | |
dc.language.iso | English | |
dc.publisher | Springer-Verlag Wien | |
dc.relation.isversionof | https://doi.org/10.1007/s00605-016-0993-y | |
dc.source.title | Monatshefte fur Mathematik | en_US |
dc.subject | Exponential sums | en_US |
dc.subject | Piatetski-Shapiro sequences | en_US |
dc.subject | Rough numbers | en_US |
dc.title | Rough values of Piatetski-Shapiro sequences | en_US |
dc.type | Article | en_US |
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