Sums of multiplicative functions over a Beatty sequence
dc.citation.epage | 334 | en_US |
dc.citation.issueNumber | 2 | en_US |
dc.citation.spage | 327 | en_US |
dc.citation.volumeNumber | 78 | en_US |
dc.contributor.author | Güloǧlu, A. M. | en_US |
dc.contributor.author | Nevans, W. C. | en_US |
dc.date.accessioned | 2016-02-08T10:07:39Z | |
dc.date.available | 2016-02-08T10:07:39Z | |
dc.date.issued | 2008 | en_US |
dc.department | Department of Mathematics | en_US |
dc.description.abstract | We study sums involving multiplicative functions that take values over a nonhomogenous Beatty sequence. We then apply our result in a few special cases to obtain asymptotic formulas for quantities such as the number of integers in a Beatty sequence that are representable as a sum of two squares up to a given magnitude. © 2008 Australian Mathematical Society. | en_US |
dc.identifier.doi | 10.1017/S0004972708000853 | en_US |
dc.identifier.eissn | 1755-1633 | |
dc.identifier.issn | 0004-9727 | |
dc.identifier.uri | http://hdl.handle.net/11693/23001 | |
dc.language.iso | English | en_US |
dc.publisher | Cambridge University Press | en_US |
dc.relation.isversionof | http://dx.doi.org/10.1017/S0004972708000853 | en_US |
dc.source.title | Bulletin of the Australian Mathematical Society | en_US |
dc.subject | Beatty sequences | en_US |
dc.subject | Sums of multiplicative functions | en_US |
dc.title | Sums of multiplicative functions over a Beatty sequence | en_US |
dc.type | Article | en_US |
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