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Dynamics and Analytic Number Theory

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Title: Dynamics and Analytic Number Theory
Description: 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.
Authors: Dzmitry Badziahin, Alexander Gorodnik, Norbert Peyerimhoff
Resource Type: eBook.
Subjects: Dynamics--Congresses, Number theory--Congresses
Categories: MATHEMATICS / Number Theory
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
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  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 1343270
RelevancyScore: 1070
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1070.4580078125
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  Data: Dynamics and Analytic Number Theory
– Name: Abstract
  Label: Description
  Group: Ab
  Data: 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.
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  Data: <searchLink fieldCode="AR" term="%22Dzmitry+Badziahin%22">Dzmitry Badziahin</searchLink><br /><searchLink fieldCode="AR" term="%22Alexander+Gorodnik%22">Alexander Gorodnik</searchLink><br /><searchLink fieldCode="AR" term="%22Norbert+Peyerimhoff%22">Norbert Peyerimhoff</searchLink>
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  Data: eBook.
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  Data: <searchLink fieldCode="DE" term="%22Dynamics--Congresses%22">Dynamics--Congresses</searchLink><br /><searchLink fieldCode="DE" term="%22Number+theory--Congresses%22">Number theory--Congresses</searchLink>
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    Classifications:
      – Code: 512.7
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Dynamics--Congresses
        Type: general
      – SubjectFull: Number theory--Congresses
        Type: general
    Titles:
      – TitleFull: Dynamics and Analytic Number Theory
        Type: main
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      – PersonEntity:
          Name:
            NameFull: Dzmitry Badziahin
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            NameFull: Alexander Gorodnik
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            NameFull: Norbert Peyerimhoff
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            NameFull: Dzmitry Badziahin
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            NameFull: Alexander Gorodnik
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            NameFull: Norbert Peyerimhoff
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2016
            – D: 05
              M: 12
              Type: profile
              Y: 2016
          Identifiers:
            – Type: isbn-print
              Value: 9781107552371
            – Type: isbn-electronic
              Value: 9781316818855
          Titles:
            – TitleFull: Dynamics and Analytic Number Theory
              Type: main
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