Dynamics and Analytic Number Theory (Paperback)

Language: English

Published by Cambridge University Press, Cambridge, 2016

1107552370 / 9781107552371

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Paperback. Written by leading experts, this book explores several directions of current research at the interface between dynamics and analytic number theory. Topics include Diophantine approximation, exponential sums, Ramsey theory, ergodic theory and homogeneous dynamics. The origins of this material lie in the 'Dynamics and Analytic Number Theory' Easter School held at Durham University in 2014. Key concepts, cutting-edge results, and modern techniques that play an essential role in contemporary research are presented in a manner accessible to young researchers, including PhD students. This book will also be useful for established mathematicians. The areas discussed include ubiquitous systems and Cantor-type sets in Diophantine approximation, flows on nilmanifolds and their connections with exponential sums, multiple recurrence and Ramsey theory, counting and equidistribution problems in homogeneous dynamics, and applications of thin groups in number theory. Both dynamical and 'classical' approaches towards number theoretical problems are also provided. Aimed at both young and established researchers, this book covers several directions of current research lying at the interface between dynamics and analytic number theory. Leading experts present a wide range of topics, including homogeneous dynamics, Diophantine approximation, Ramsey theory, ergodic theory and combinatorics. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…

Seller Inventory # 9781107552371

Title
Dynamics and Analytic Number Theory (Paperback)
Author
Dzmitry Badziahin
Publisher
Cambridge University Press, Cambridge
Publication year
2016
Condition
new
Binding
Paperback
Language
English
ISBN 10
1107552370
ISBN 13
9781107552371

CitiRetail

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