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Dynamics and Analytic Number Theory (Paperback)
Loot Price: R1,803
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Dynamics and Analytic Number Theory (Paperback)
Series: London Mathematical Society Lecture Note Series
Expected to ship within 12 - 17 working days
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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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