Metric Diophantine Approximation on Manifolds by Algebraic Points
Author : Alessandro Pezzoni
Publisher :
Page : pages
File Size : 42,18 MB
Release : 2020
Category :
ISBN :
Author : Alessandro Pezzoni
Publisher :
Page : pages
File Size : 42,18 MB
Release : 2020
Category :
ISBN :
Author : V. I. Bernik
Publisher : Cambridge University Press
Page : 198 pages
File Size : 27,28 MB
Release : 1999-10-14
Category : Mathematics
ISBN : 9780521432757
This book is concerned with Diophantine approximation on smooth manifolds embedded in Euclidean space, and its aim is to develop a coherent body of theory comparable with that which already exists for classical Diophantine approximation. In particular, this book deals with Khintchine-type theorems and with the Hausdorff dimension of the associated null sets. All researchers with an interest in Diophantine approximation will welcome this book.
Author : Vladimir Gennadievich Sprindzhuk
Publisher :
Page : 186 pages
File Size : 45,56 MB
Release : 1979
Category : Mathematics
ISBN :
This monograph is a systematic presentation of a branch of number theory known as the metric theory of Diophantine approximation. The main emphasis is on extremal problems, i.e., problems involving approximations that are best in a certain sense.
Author : Min Ru
Publisher : World Scientific
Page : 342 pages
File Size : 25,15 MB
Release : 2001
Category : Mathematics
ISBN : 9789812810519
It was discovered recently that Nevanlinna theory and Diophantine approximation bear striking similarities and connections. This book provides an introduction to both Nevanlinna theory and Diophantine approximation, with emphasis on the analogy between these two subjects. Each chapter is divided into part A and part B. Part A deals with Nevanlinna theory and part B covers Diophantine approximation. At the end of each chapter, a table is provided to indicate the correspondence of theorems. Contents: Nevanlinna Theory for Meromorphic Functions and Roth's Theorem; Holomorphic Curves into Compact Riemann Surfaces and Theorems of Siegel, Roth, and Faltings; Holomorphic Curves in Pn(C) and Schmidt's Sub-Space Theorem; The Moving Target Problems; Equi-Dimensional Nevanlinna Theory and Vojta's Conjecture; Holomorphic Curves in Abelian Varieties and the Theorem of Faltings; Complex Hyperbolic Manifolds and Lang's Conjecture. Readership: Researchers in complex analysis, number theory and complex geometry.
Author : John William Scott Cassels
Publisher :
Page : 180 pages
File Size : 19,89 MB
Release : 1957
Category : Diophantine analysis
ISBN :
Author : Peter Eichelsbacher
Publisher : Springer Science & Business Media
Page : 317 pages
File Size : 40,61 MB
Release : 2013-04-23
Category : Mathematics
ISBN : 3642360688
Limit theorems and asymptotic results form a central topic in probability theory and mathematical statistics. New and non-classical limit theorems have been discovered for processes in random environments, especially in connection with random matrix theory and free probability. These questions and the techniques for answering them combine asymptotic enumerative combinatorics, particle systems and approximation theory, and are important for new approaches in geometric and metric number theory as well. Thus, the contributions in this book include a wide range of applications with surprising connections ranging from longest common subsequences for words, permutation groups, random matrices and free probability to entropy problems and metric number theory. The book is the product of a conference that took place in August 2011 in Bielefeld, Germany to celebrate the 60th birthday of Friedrich Götze, a noted expert in this field.
Author : Gisbert Wüstholz
Publisher : Cambridge University Press
Page : 378 pages
File Size : 17,75 MB
Release : 2002-09-26
Category : Mathematics
ISBN : 9780521807999
This is a selection of high quality articles on number theory by leading figures.
Author : Siddhartha Bhattacharya
Publisher : American Mathematical Soc.
Page : 272 pages
File Size : 22,17 MB
Release : 2015-01-26
Category : Mathematics
ISBN : 1470409313
This volume contains the proceedings of the International Conference on Recent Trends in Ergodic Theory and Dynamical Systems, in honor of S. G. Dani's 65th Birthday, held December 26-29, 2012, in Vadodara, India. This volume covers many topics of ergodic theory, dynamical systems, number theory and probability measures on groups. Included are papers on Teichmüller dynamics, Diophantine approximation, iterated function systems, random walks and algebraic dynamical systems, as well as two surveys on the work of S. G. Dani.
Author : Yann Bugeaud
Publisher : Cambridge University Press
Page : 292 pages
File Size : 14,13 MB
Release : 2004-11-08
Category : Mathematics
ISBN : 1139455672
An accessible and broad account of the approximation and classification of real numbers suited for graduate courses on Diophantine approximation (some 40 exercises are supplied), or as an introduction for non-experts. Specialists will appreciate the collection of over 50 open problems and the comprehensive list of more than 600 references.
Author : Victor Beresnevich
Publisher : American Mathematical Soc.
Page : 77 pages
File Size : 39,39 MB
Release : 2020-04-03
Category : Education
ISBN : 1470440954