Author : Vladimir Gennadievich Sprindzhuk
Publisher :
Page : 186 pages
File Size : 16,32 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 : Bas Edixhoven
Publisher : Springer
Page : 136 pages
File Size : 19,42 MB
Release : 2009-02-05
Category : Mathematics
ISBN : 3540482083
The 13 chapters of this book centre around the proof of Theorem 1 of Faltings' paper "Diophantine approximation on abelian varieties", Ann. Math.133 (1991) and together give an approach to the proof that is accessible to Ph.D-level students in number theory and algebraic geometry. Each chapter is based on an instructional lecture given by its author ata special conference for graduate students, on the topic of Faltings' paper.
Author : Ivan Niven
Publisher :
Page : 88 pages
File Size : 45,75 MB
Release : 1963
Category : Diophantine analysis
ISBN :
At the 1960 summer meeting of the Mathematical Association of America it was the authors privilege to deliver the Earle Raymond Hedrick lectures. This monograph is an extension of those lectures, many details having been added that were omitted or mentioned only briefly in the lectures. The monograph is self-contained. It does not offer a complete survey of the field. An attempt has been made, in a section entitled "Further results" at the end of each chapter, to provide a bibliographic account of closely related work. These sections also give the sources from which the proofs are drawn.
Author : Dzmitry Badziahin
Publisher : Cambridge University Press
Page : 341 pages
File Size : 36,26 MB
Release : 2016-11-10
Category : Mathematics
ISBN : 1107552370
Presents current research in various topics, including homogeneous dynamics, Diophantine approximation and combinatorics.
Author : John William Scott Cassels
Publisher :
Page : 180 pages
File Size : 43,70 MB
Release : 1957
Category : Diophantine analysis
ISBN :
Author : Robert F. Tichy
Publisher : Springer Science & Business Media
Page : 416 pages
File Size : 26,29 MB
Release : 2008-07-10
Category : Mathematics
ISBN : 3211742808
This volume contains 21 research and survey papers on recent developments in the field of diophantine approximation, which are based on lectures given at a conference at the Erwin Schrödinger-Institute (Vienna, 2003). The articles are either in the spirit of more classical diophantine analysis or of a geometric or combinatorial flavor. Several articles deal with estimates for the number of solutions of diophantine equations as well as with congruences and polynomials.
Author : Charles F. Osgood
Publisher :
Page : 374 pages
File Size : 11,86 MB
Release : 1973
Category : Mathematics
ISBN :
This volume represents the proceedings of a Conference on Diophantine Approximation and Its Applications held in Washington, D.C., June 6-8, 1972, and sponsored by the Mathematics Research Center of the Naval Research Laboratory. The purpose of this meeting was to stimulate research in the area of Diophantine approximation by bringing together many of the leading researchers in this field so that they could exchange information and ideas. Fourteen formal lectures were presented at the conference, and these are the papers contained in this volume.
Author : Serge Lang
Publisher : Springer Science & Business Media
Page : 146 pages
File Size : 39,53 MB
Release : 1995-06-29
Category : Mathematics
ISBN : 9780387944562
The aim of this book is to illustrate by significant special examples three aspects of the theory of Diophantine approximations: the formal relationships that exist between counting processes and the functions entering the theory; the determination of these functions for numbers given as classical numbers; and certain asymptotic estimates holding almost everywhere. Each chapter works out a special case of a much broader general theory, as yet unknown. Indications for this are given throughout the book, together with reference to current publications. The book may be used in a course in number theory, whose students will thus be put in contact with interesting but accessible problems on the ground floor of mathematics.
Author : Veikko Ennola
Publisher :
Page : 7 pages
File Size : 22,53 MB
Release : 1967
Category :
ISBN :
Author : V. I. Bernik
Publisher : Cambridge University Press
Page : 198 pages
File Size : 38,73 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.
