Number Theory

Dynamics and Analytic Number Theory (London Mathematical by Dzmitry Badziahin,Alexander Gorodnik,Norbert Peyerimhoff PDF

By Dzmitry Badziahin,Alexander Gorodnik,Norbert Peyerimhoff

ISBN-10: 1107552370

ISBN-13: 9781107552371

Written by means of prime specialists, this ebook explores numerous instructions of present learn on the interface among dynamics and analytic quantity concept. issues contain Diophantine approximation, exponential sums, Ramsey idea, ergodic idea and homogeneous dynamics. The origins of this fabric lie within the 'Dynamics and Analytic quantity idea' Easter institution held at Durham college in 2014. Key suggestions, state of the art effects, and glossy innovations that play a necessary position in modern study are offered in a way available to younger researchers, together with PhD scholars. This e-book can be worthy for confirmed mathematicians. The components mentioned contain ubiquitous platforms and Cantor-type units in Diophantine approximation, flows on nilmanifolds and their connections with exponential sums, a number of recurrence and Ramsey concept, counting and equidistribution difficulties in homogeneous dynamics, and purposes of skinny teams in quantity conception. either dynamical and 'classical' ways in the direction of quantity theoretical difficulties also are provided.

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Dynamics and Analytic Number Theory (London Mathematical Society Lecture Note Series) by Dzmitry Badziahin,Alexander Gorodnik,Norbert Peyerimhoff


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