000 01588cam a2200349 i 4500
999 _c38966
_d38966
001 19291542
005 20190213152540.0
008 160927s2016 enka b 101 0 eng
010 _a 2016044609
020 _a9781107552371 (alk. paper)
020 _a1107552370 (alk. paper)
040 _aDLC
_beng
_cDLC
_erda
_dDLC
042 _apcc
050 0 0 _aQA241
_b.D87 2014
082 0 0 _a512.73 BAD-D
_223
100 _aBadziahin, Dzmitry
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.
260 _aUK
_bCambridge
_c2016
300 _axviii, 321 pages :
_billustrations ;
_c23 cm.
365 _aGBP
_b55.99
490 0 _aLondon Mathematical Society lecture note series ;
_v437
500 _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.
504 _aIncludes bibliographical references and index.
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.
906 _a7
_bcbc
_corignew
_d1
_eecip
_f20
_gy-gencatlg
955 _brl03 2016-09-27
_irl03 2016-09-27 to Dewey
_axn12 2017-02-23 1 copy rec'd., to CIP ver.
_arl06 2017-03-02 to SMA