Metric Diophantine Approximation and Related Topics
Author : Johb Andrew Haight
Publisher :
Page : 71 pages
File Size : 38,97 MB
Release : 1971
Category :
ISBN :
Author : Johb Andrew Haight
Publisher :
Page : 71 pages
File Size : 38,97 MB
Release : 1971
Category :
ISBN :
Author : Vladimir Gennadievich Sprindzhuk
Publisher :
Page : 186 pages
File Size : 20,91 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 : Yann Bugeaud
Publisher : Cambridge University Press
Page : 317 pages
File Size : 37,88 MB
Release : 2012-07-05
Category : Mathematics
ISBN : 0521111692
A treatment of cutting-edge research on the distribution modulo one of sequences and related topics, much of it from the last decade. There are numerous exercises to aid student understanding of the topic, and researchers will appreciate the notes at the end of each chapter, extensive references and open problems.
Author : Jörn Steuding
Publisher : Birkhäuser
Page : 239 pages
File Size : 50,22 MB
Release : 2016-12-21
Category : Mathematics
ISBN : 3319488171
This collection of course notes from a number theory summer school focus on aspects of Diophantine Analysis, addressed to Master and doctoral students as well as everyone who wants to learn the subject. The topics range from Baker’s method of bounding linear forms in logarithms (authored by Sanda Bujačić and Alan Filipin), metric diophantine approximation discussing in particular the yet unsolved Littlewood conjecture (by Simon Kristensen), Minkowski’s geometry of numbers and modern variations by Bombieri and Schmidt (Tapani Matala-aho), and a historical account of related number theory(ists) at the turn of the 19th Century (Nicola M.R. Oswald). Each of these notes serves as an essentially self-contained introduction to the topic. The reader gets a thorough impression of Diophantine Analysis by its central results, relevant applications and open problems. The notes are complemented with many references and an extensive register which makes it easy to navigate through the book.
Author : Robert Frank Carslaw Walters
Publisher :
Page : 138 pages
File Size : 17,20 MB
Release : 1967
Category : Diophantine analysis
ISBN :
Author : Bas Edixhoven
Publisher : Springer
Page : 136 pages
File Size : 46,61 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 : Victor Beresnevich
Publisher : American Mathematical Soc.
Page : 77 pages
File Size : 36,74 MB
Release : 2020-04-03
Category : Education
ISBN : 1470440954
Author : Gisbert Wüstholz
Publisher : Cambridge University Press
Page : 378 pages
File Size : 35,18 MB
Release : 2002-09-26
Category : Mathematics
ISBN : 9780521807999
This is a selection of high quality articles on number theory by leading figures.
Author : Charles F. Osgood
Publisher :
Page : 378 pages
File Size : 27,64 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 : Harold N. Shapiro
Publisher :
Page : 178 pages
File Size : 26,65 MB
Release : 1950
Category : Diophantine analysis
ISBN :