Rational points on horocycles and incomplete Gauss sums

This thesis studies the connection between the limiting distributions of rational points on horocyle flows and the value distribution of incomplete Gauss sums. A key property of the horocycle flow on a finite-area hyperbolic surface is that long closed horocycles are uniformly distributed. In this t...

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Bibliographic Details
Main Author: Akarsu, Emek Demirci
Published: University of Bristol 2014
Subjects:
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.652044