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200 10$aDynamics and analytic number theory $eproceedings of the Durham Easter School 2014 /$fedited by Dzmitry Badziahin, University of Durham, Alexander Gorodnik, University of Bristol, Norbert Peyerimhoff, University of Durham$b[electronic resource]
210  1$aCambridge :$cCambridge University Press,$d2016.
215   $a1 online resource (xviii, 321 pages) $cdigital, PDF file(s)
225 1 $aLondon Mathematical Society lecture note series ;$v437
300   $aTitle from publisher's bibliographic system (viewed on 02 Dec 2016).
311   $a1-107-55237-0 
320   $aIncludes bibliographical references at the end of each chapters and index.
330   $aWritten by leading experts, this book explores several directions of current research at the interface between dynamics and analytic number theory. Topics include Diophantine approximation, exponential sums, Ramsey theory, ergodic theory and homogeneous dynamics. The origins of this material lie in the 'Dynamics and Analytic Number Theory' Easter School held at Durham University in 2014. Key concepts, cutting-edge results, and modern techniques that play an essential role in contemporary research are presented in a manner accessible to young researchers, including PhD students. This book will also be useful for established mathematicians. The areas discussed include ubiquitous systems and Cantor-type sets in Diophantine approximation, flows on nilmanifolds and their connections with exponential sums, multiple recurrence and Ramsey theory, counting and equidistribution problems in homogeneous dynamics, and applications of thin groups in number theory. Both dynamical and 'classical' approaches towards number theoretical problems are also provided.
410  0$aLondon Mathematical Society lecture note series ;$v437.
517 3 $aDynamics & Analytic Number Theory
606   $aNumber theory$vCongresses
606   $aDynamics$vCongresses
615  0$aNumber theory
615  0$aDynamics
676   $a512.7/3
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702   $aGorodnik$b Alexander$f1975-
702   $aPeyerimhoff$b Norbert$f1964-
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