Publication: Distribution of averages of ramanujan sums
| dc.contributor.department | Department of Mathematics | |
| dc.contributor.kuauthor | Alkan, Emre | |
| dc.contributor.schoolcollegeinstitute | College of Sciences | |
| dc.date.accessioned | 2024-11-09T23:08:06Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | The average value of a certain normalization of Ramanujan sums is determined in terms of Bernoulli numbers and odd values of the Riemann zeta function. The distribution of values and limiting behavior of such a normalization are then studied along subsets of Beurling type integers with positive density and sequences of moduli with constraints on the number of distinct prime factors. | |
| dc.description.indexedby | WOS | |
| dc.description.indexedby | Scopus | |
| dc.description.issue | 44986 | |
| dc.description.openaccess | NO | |
| dc.description.publisherscope | International | |
| dc.description.sponsoredbyTubitakEu | N/A | |
| dc.description.sponsorship | Tuba-Gebip of Turkish Academy of Sciences The author is supported by the Distinguished Young Scholar Award, Tuba-Gebip of Turkish Academy of Sciences. | |
| dc.description.volume | 29 | |
| dc.identifier.doi | 10.1007/s11139-012-9424-4 | |
| dc.identifier.issn | 1382-4090 | |
| dc.identifier.scopus | 2-s2.0-84869109128 | |
| dc.identifier.uri | https://doi.org/10.1007/s11139-012-9424-4 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14288/9258 | |
| dc.identifier.wos | 310975300024 | |
| dc.keywords | Averages of ramanujan sums | |
| dc.keywords | Distribution of values | |
| dc.keywords | Beurling type integers | |
| dc.keywords | Limiting behavior | |
| dc.keywords | Jordan's totient function | |
| dc.keywords | Euler's totient function | |
| dc.keywords | Mobius function | |
| dc.keywords | Bernoulli numbers | |
| dc.language.iso | eng | |
| dc.publisher | Springer | |
| dc.relation.ispartof | Ramanujan Journal | |
| dc.subject | Mathematics | |
| dc.title | Distribution of averages of ramanujan 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 | |
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