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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
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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:  DOI: Not available
Keywords: Mathematics ; Mathematics ; Number theory ; Gram's Law ; zeta function ; Rosser Rule ; Turing's Method