Linear, bilinear and polynomial structures in function fields and the primes

This thesis is a contribution to arithmetic combinatorics. We present the Green-Tao method and the Green-Tao-Ziegler theorem concerning asymptotics for linear configura- tions of primes. Then we show extensions of our own to this theorem: first to some family of quadratic configurations, and secondl...

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Bibliographic Details
Main Author: Bienvenu, Pierre
Published: University of Bristol 2018
Subjects:
510
Online Access:https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.761079