| Use this URL to cite or link to this record in EThOS: | https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.515005 |
|
|||||||
| Title: | Further results on Gram's Law | ||||||
| Author: | Trudgian, Timothy Scott |
ISNI:
0000 0004 2686 6857
|
|||||
| Awarding Body: | University of Oxford | ||||||
| Current Institution: | University of Oxford | ||||||
| Date of Award: | 2009 | ||||||
| Availability of Full Text: |
|
||||||
| Abstract: | |||||||
|
This thesis shows that Gram's Law and the Rosser Rule (methods for locating zeroes of the Riemann zeta-function) fail in a positive proportion of cases. A weaker version of Gram's Law is shown to be true in a positive proportion of cases. Also included are theorems on Turing's Method and its extensions to Dirichlet L-functions and Dedekind zeta-functions.
|
|||||||
| Supervisor: | Heath-Brown, D. R. | Sponsor: | General Sir John Monash Foundation | ||||
| Qualification Name: | Thesis (Ph.D.) | Qualification Level: | Doctoral | ||||
| EThOS ID: | uk.bl.ethos.515005 | DOI: | Not available | ||||
| Keywords: | Mathematics ; Mathematics ; Number theory ; Gram's Law ; zeta function ; Rosser Rule ; Turing's Method | ||||||
| Share: | |||||||