Dynamics and Analytic Number Theory

Nonfiction, Science & Nature, Mathematics, Number Theory, Science
Cover of the book Dynamics and Analytic Number Theory by , Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: ISBN: 9781316817414
Publisher: Cambridge University Press Publication: November 10, 2016
Imprint: Cambridge University Press Language: English
Author:
ISBN: 9781316817414
Publisher: Cambridge University Press
Publication: November 10, 2016
Imprint: Cambridge University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Cambridge University Press

Cover of the book Shakespeare as Literary Dramatist by
Cover of the book Networks in Social Policy Problems by
Cover of the book Electronic Transport in Mesoscopic Systems by
Cover of the book Britannia's Shield by
Cover of the book Politicized Enforcement in Argentina by
Cover of the book The Invention of Market Freedom by
Cover of the book Financial Regulation by
Cover of the book Non-Discrimination in International Trade in Services by
Cover of the book The Scientific Exploration of Venus by
Cover of the book The Logics of Gender Justice by
Cover of the book Economics and Consumer Behavior by
Cover of the book Religion and Nationalism in Southeast Asia by
Cover of the book What is Life? by
Cover of the book Conversations on Justice from National, International, and Global Perspectives by
Cover of the book Church Building and Society in the Later Middle Ages by
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy