Statistics of the zeros of L-functions and arithmetic correlations

This thesis determines some of the implications of non-universal and emergent universal statistics on arithmetic correlations and fluctuations of arithmetic functions, in particular correlations amongst prime numbers and the variance of the expected number of prime numbers over short intervals are g...

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Bibliographic Details
Main Author: Smith, Dale
Published: University of Bristol 2016
Subjects:
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.690893