Thesis

### On large gaps between consecutive zeros, on the critical line, of some zeta-functions

Abstract:

In this thesis we extend a method of Hall $[30, 34]$ which he used to show the existence of large gaps between consecutive zeros, on the critical line, of the Riemann zeta-function $zeta(s)$. Our modification involves introducing an "amplifier" and enables us to show the existence of gaps between consecutive zeros, on the critical line at height $T,$ of $zeta(s)$ of length at least $2.766 x (2pi/log{T})$. To handle some integral-calculations, we use the article $[44]$ by Hughes and Young....

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author

#### Contributors

Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
Publication date:
2011
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
Oxford University, UK
Language:
English
Keywords:
Subjects:
UUID:
uuid:3e744bbd-c947-405c-b519-4808c8c5a73e
Local pid:
ora:5530
Deposit date:
2011-07-05