On multiplicative functions resembling the Möbius function
On multiplicative functions resembling the Möbius function
| dc.contributor.author | Maier, H. | |
| dc.contributor.author | Sankaranarayanan, A. | |
| dc.date.accessioned | 2022-03-27T04:08:45Z | |
| dc.date.available | 2022-03-27T04:08:45Z | |
| dc.date.issued | 2016-06-01 | |
| dc.description.abstract | For multiplicative functions f resembling the Möbius function μ, we establish an upper bound for |∑n≤xf(n)| on much weaker assumptions on f which is comparable with the upper bound for |M(x):=∑n≤xμ(n)| being obtained on assuming the Riemann Hypothesis and using the analytic properties of the generating function 1ζ(s). | |
| dc.identifier.citation | Journal of Number Theory. v.163 | |
| dc.identifier.issn | 0022314X | |
| dc.identifier.uri | 10.1016/j.jnt.2015.11.006 | |
| dc.identifier.uri | https://www.sciencedirect.com/science/article/abs/pii/S0022314X16000056 | |
| dc.identifier.uri | https://dspace.uohyd.ac.in/handle/1/6520 | |
| dc.subject | Dickmann's function | |
| dc.subject | Exponential sums | |
| dc.subject | Multiplicative functions | |
| dc.subject | Möbius function | |
| dc.subject | Riemann Hypothesis | |
| dc.title | On multiplicative functions resembling the Möbius function | |
| dc.type | Journal. Article | |
| dspace.entity.type |
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