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Thesis

Further results on Gram's Law

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.

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Research group:
Number Theory
Oxford college:
Balliol College
Role:
Author

Contributors

Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor



Publication date:
2009
DOI:
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford


Language:
English
Keywords:
Subjects:
UUID:
uuid:04eeba27-584b-48fe-ae6b-7dc504268209
Local pid:
ora:3570
Deposit date:
2010-03-25

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