Publication: A bias phenomenon on the behavior of Dedekind sums
| dc.contributor.coauthor | Xiong, Maosheng | |
| dc.contributor.coauthor | Zaharescu, Alexandru | |
| dc.contributor.department | Department of Mathematics | |
| dc.contributor.kuauthor | Faculty Member, Alkan, Emre | |
| dc.contributor.schoolcollegeinstitute | College of Sciences | |
| dc.date.accessioned | 2024-11-09T22:57:20Z | |
| dc.date.issued | 2008 | |
| dc.description.abstract | In this paper we present a bias phenomenon on the behavior of Dedekind sums at visible points in a dilated region. Our results indicate that in more than three quarters of the time the Dedekind sum increases as one moves from one visible point to the next. | |
| dc.description.indexedby | WOS | |
| dc.description.indexedby | Scopus | |
| dc.description.issue | 45082 | |
| dc.description.openaccess | NO | |
| dc.description.publisherscope | International | |
| dc.description.sponsoredbyTubitakEu | N/A | |
| dc.description.sponsorship | NSF [DMS-0456615] | |
| dc.description.sponsorship | CNCSIS [GR106/2007, code 1116] | |
| dc.description.sponsorship | Romanian Ministry of Education and Research The last author was supported by NSF grant number DMS-0456615, and by CNCSIS grant GR106/2007, code 1116, of the Romanian Ministry of Education and Research. | |
| dc.description.volume | 15 | |
| dc.identifier.doi | 10.4310/MRL.2008.v15.n5.a16 | |
| dc.identifier.eissn | 1945-001X | |
| dc.identifier.issn | 1073-2780 | |
| dc.identifier.quartile | Q2 | |
| dc.identifier.scopus | 2-s2.0-59349102683 | |
| dc.identifier.uri | https://doi.org/10.4310/MRL.2008.v15.n5.a16 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14288/7537 | |
| dc.identifier.wos | 262382600016 | |
| dc.keywords | Dedekind sums | |
| dc.keywords | Kloosterman sums | |
| dc.keywords | Visible points continued fractions | |
| dc.language.iso | eng | |
| dc.publisher | Int Press Boston, Inc | |
| dc.relation.ispartof | Mathematical Research Letters | |
| dc.subject | Mathematics | |
| dc.title | A bias phenomenon on the behavior of Dedekind sums | |
| dc.type | Journal Article | |
| dspace.entity.type | Publication | |
| local.contributor.kuauthor | Alkan, Emre | |
| local.publication.orgunit1 | College of Sciences | |
| local.publication.orgunit2 | Department of Mathematics | |
| relation.isOrgUnitOfPublication | 2159b841-6c2d-4f54-b1d4-b6ba86edfdbe | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 2159b841-6c2d-4f54-b1d4-b6ba86edfdbe | |
| relation.isParentOrgUnitOfPublication | af0395b0-7219-4165-a909-7016fa30932d | |
| relation.isParentOrgUnitOfPublication.latestForDiscovery | af0395b0-7219-4165-a909-7016fa30932d |