By Dzmitry Badziahin,Alexander Gorodnik,Norbert Peyerimhoff

Written by means of top specialists, this publication explores numerous instructions of present learn on the interface among dynamics and analytic quantity conception. themes contain Diophantine approximation, exponential sums, Ramsey thought, ergodic conception and homogeneous dynamics. The origins of this fabric lie within the 'Dynamics and Analytic quantity conception' Easter institution held at Durham collage in 2014. Key suggestions, state-of-the-art effects, and glossy recommendations that play a vital function in modern learn are offered in a way available to younger researchers, together with PhD scholars. This publication may also be worthwhile for confirmed mathematicians. The parts mentioned comprise ubiquitous structures and Cantor-type units in Diophantine approximation, flows on nilmanifolds and their connections with exponential sums, a number of recurrence and Ramsey conception, counting and equidistribution difficulties in homogeneous dynamics, and functions of skinny teams in quantity conception. either dynamical and 'classical' ways in the direction of quantity theoretical difficulties also are provided.

Show description

Read or Download Dynamics and Analytic Number Theory (London Mathematical Society Lecture Note Series) PDF

Similar number theory books

Galois Theory of Linear Differential Equations (Grundlehren by Marius Put,Michael F. Singer PDF

From the stories: "This is a smart booklet, so that it will with a bit of luck turn into a vintage within the topic of differential Galois concept. […] the professional, in addition to the beginner, have lengthy been lacking an introductory ebook overlaying additionally particular and complex study subject matters. This hole is stuffed through the amount below assessment, and greater than satisfactorily.

Download e-book for iPad: Advanced Algebra: With a Companion Volume 'Basic Algebra' by Anthony W. Knapp

Easy Algebra and complicated Algebra systematically boost strategies and instruments in algebra which are very important to each mathematician, even if natural or utilized, aspiring or validated. complex Algebra contains chapters on sleek algebra which deal with numerous issues in commutative and noncommutative algebra and supply introductions to the idea of associative algebras, homological algebras, algebraic quantity concept, and algebraic geometry.

Download PDF by Rainer Schulze-Pillot: Einführung in Algebra und Zahlentheorie (Springer-Lehrbuch)

Das Buch bietet eine neue Stoffzusammenstellung, die elementare Themen aus der Algebra und der Zahlentheorie verknüpft und für die Verwendung in Bachelorstudiengängen und modularisierten Lehramtsstudiengängen konzipiert ist. Es führt die abstrakten Konzepte der Algebra in stetem Kontakt mit konkreten Problemen der elementaren Zahlentheorie und mit Blick auf Anwendungen ein und bietet Ausblicke auf fortgeschrittene Themen.

Classification of Pseudo-reductive Groups (AM-191) (Annals by Brian Conrad,Gopal Prasad PDF

Within the previous monograph Pseudo-reductive teams, Brian Conrad, Ofer Gabber, and Gopal Prasad explored the overall constitution of pseudo-reductive teams. during this new ebook, category of Pseudo-reductive teams, Conrad and Prasad cross additional to check the class over an arbitrary box. An isomorphism theorem proved the following determines the automorphism schemes of those teams.

Extra info for Dynamics and Analytic Number Theory (London Mathematical Society Lecture Note Series)

Example text

Download PDF sample

Dynamics and Analytic Number Theory (London Mathematical Society Lecture Note Series) by Dzmitry Badziahin,Alexander Gorodnik,Norbert Peyerimhoff


by Richard
4.2

Rated 4.55 of 5 – based on 50 votes