000 02706nam a22003978i 4500
001 CR9781316402696
003 UkCbUP
005 20200124160157.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 150303s2016||||enk o ||1 0|eng|d
020 _a9781316402696 (ebook)
020 _z9781107552371 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA241
_b.D87 2014
082 0 0 _a512.7/3
_223
111 2 _aDurham Easter School
_d(2014 :
_cUniversity of Durham)
245 1 0 _aDynamics and analytic number theory :
_bproceedings of the Durham Easter School 2014 /
_cedited by Dzmitry Badziahin, University of Durham, Alexander Gorodnik, University of Bristol, Norbert Peyerimhoff, University of Durham.
246 3 _aDynamics & Analytic Number Theory
264 1 _aCambridge :
_bCambridge University Press,
_c2016.
300 _a1 online resource (xviii, 321 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society lecture note series ;
_v437
500 _aTitle from publisher's bibliographic system (viewed on 02 Dec 2016).
520 _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.
650 0 _aNumber theory
_vCongresses.
650 0 _aDynamics
_vCongresses.
700 1 _aBadziahin, Dmitry
_q(Dmitry A.),
_eeditor.
700 1 _aGorodnik, Alexander,
_d1975-
_eeditor.
700 1 _aPeyerimhoff, Norbert,
_d1964-
_eeditor.
776 0 8 _iPrint version:
_z9781107552371
830 0 _aLondon Mathematical Society lecture note series ;
_v437.
856 4 0 _uhttps://doi.org/10.1017/CBO9781316402696
999 _c514547
_d514545