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.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:515005 |
| Date | January 2009 |
| Creators | Trudgian, Timothy Scott |
| Contributors | Heath-Brown, D. R. |
| Publisher | University of Oxford |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Source | http://ora.ox.ac.uk/objects/uuid:04eeba27-584b-48fe-ae6b-7dc504268209 |
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