Some Improved Estimates in the Dirichlet Divisor Problem from Bourgain's Exponent Pair
dc.contributor.advisor | Seip, Kristian | |
dc.contributor.author | Teklehaymanot, Nigus Girmay | |
dc.date.accessioned | 2018-04-30T14:00:43Z | |
dc.date.available | 2018-04-30T14:00:43Z | |
dc.date.created | 2018-02-01 | |
dc.date.issued | 2018 | |
dc.identifier | ntnudaim:15099 | |
dc.identifier.uri | http://hdl.handle.net/11250/2496600 | |
dc.description.abstract | The thesis work is a survey of recent developments on the famous error terms in the Dirichlet divisor problem. We consider the power moments of the Riemann zeta-function in the critical strip and we managed to obtain some new bound estimates for power moments using a recently obtained exponent pair by Jean Bourgain. Thus, applying the slight improvements on bounds of the power moment estimates and the order of the zeta-function in the critical strip, we obtain new improved bounds for the order of the error term in the Dirichlet divisor problem. | |
dc.language | eng | |
dc.publisher | NTNU | |
dc.subject | Matematiske fag, Analyse | |
dc.title | Some Improved Estimates in the Dirichlet Divisor Problem from Bourgain's Exponent Pair | |
dc.type | Master thesis |