Author : V. I. Bernik
Publisher : Cambridge University Press
Page : 198 pages
File Size : 11,37 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 : Alessandro Pezzoni
Publisher :
Page : pages
File Size : 31,36 MB
Release : 2020
Category :
ISBN :
Author : Vladimir Gennadievich Sprindzhuk
Publisher :
Page : 186 pages
File Size : 34,74 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 : David Fisher
Publisher : University of Chicago Press
Page : 573 pages
File Size : 13,60 MB
Release : 2022-02-07
Category : Mathematics
ISBN : 022680402X
"Mathematicians David Fisher, Dmitry Kleinbock, and Gregory Soifer highlight in this edited collection the foundations and evolution of research by mathematician Gregory Margulis. Margulis is unusual in the degree to which his solutions to particular problems have opened new vistas of mathematics. Margulis' ideas were central, for example, to developments that led to the recent Fields Medals of Elon Lindenstrauss and Maryam Mirzhakhani. The broad goal of this volume is to introduce these areas, their development, their use in current research, and the connections between them. The foremost experts on the topic have written each of the chapters in this volume with a view to making them accessible by graduate students and by experts in other parts of mathematics"--
Author : Gisbert Wüstholz
Publisher : Cambridge University Press
Page : 378 pages
File Size : 36,11 MB
Release : 2002-09-26
Category : Mathematics
ISBN : 9780521807999
This is a selection of high quality articles on number theory by leading figures.
Author : Anish Ghosh
Publisher :
Page : 49 pages
File Size : 34,21 MB
Release : 2006
Category : Diophantine approximation
ISBN :
Author : Saár Hersonsky
Publisher :
Page : pages
File Size : 10,25 MB
Release : 1999
Category :
ISBN :
Author : Dzmitry Badziahin
Publisher : Cambridge University Press
Page : 341 pages
File Size : 16,58 MB
Release : 2016-11-10
Category : Mathematics
ISBN : 1107552370
Presents current research in various topics, including homogeneous dynamics, Diophantine approximation and combinatorics.
Author : Min Ru
Publisher : World Scientific
Page : 338 pages
File Size : 50,53 MB
Release : 2001-06-06
Category : Mathematics
ISBN : 9814492485
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.
Author : Pieter Moree
Publisher : American Mathematical Soc.
Page : 347 pages
File Size : 12,66 MB
Release : 2020-02-12
Category : Education
ISBN : 147045100X
This volume contains the proceedings of the conference Dynamics: Topology and Numbers, held from July 2–6, 2018, at the Max Planck Institute for Mathematics, Bonn, Germany. The papers cover diverse fields of mathematics with a unifying theme of relation to dynamical systems. These include arithmetic geometry, flat geometry, complex dynamics, graph theory, relations to number theory, and topological dynamics. The volume is dedicated to the memory of Sergiy Kolyada and also contains some personal accounts of his life and mathematics.
