Logarithmic Forms And Diophantine Geometry PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Logarithmic Forms And Diophantine Geometry PDF full book. Access full book title Logarithmic Forms And Diophantine Geometry.
Author | : A. Baker |
Publisher | : Cambridge University Press |
Total Pages | : |
Release | : 2008-01-17 |
Genre | : Mathematics |
ISBN | : 1139468871 |
Download Logarithmic Forms and Diophantine Geometry Book in PDF, ePub and Kindle
There is now much interplay between studies on logarithmic forms and deep aspects of arithmetic algebraic geometry. New light has been shed, for instance, on the famous conjectures of Tate and Shafarevich relating to abelian varieties and the associated celebrated discoveries of Faltings establishing the Mordell conjecture. This book gives an account of the theory of linear forms in the logarithms of algebraic numbers with special emphasis on the important developments of the past twenty-five years. The first part covers basic material in transcendental number theory but with a modern perspective. The remainder assumes some background in Lie algebras and group varieties, and covers, in some instances for the first time in book form, several advanced topics. The final chapter summarises other aspects of Diophantine geometry including hypergeometric theory and the André-Oort conjecture. A comprehensive bibliography rounds off this definitive survey of effective methods in Diophantine geometry.
Author | : |
Publisher | : |
Total Pages | : 29 |
Release | : 179? |
Genre | : |
ISBN | : |
Download Le Bouquet fané, ou Le titre réduit a sa valeur Book in PDF, ePub and Kindle
Author | : Umberto Zannier |
Publisher | : Springer |
Total Pages | : 420 |
Release | : 2007-06-27 |
Genre | : Mathematics |
ISBN | : |
Download Diophantine Geometry Book in PDF, ePub and Kindle
This book contains research articles on Diophantine Geometry, written by participants of a research program held at the Ennio De Giorgi Mathematical Research Center in Pisa, Italy, between April and July 2005. The authors are eminent experts in the field and present several subfields of the main topic. The volume provides a broad overview of recent research developments.
Author | : Enrico Bombieri |
Publisher | : Cambridge University Press |
Total Pages | : 676 |
Release | : 2006 |
Genre | : Mathematics |
ISBN | : 9780521712293 |
Download Heights in Diophantine Geometry Book in PDF, ePub and Kindle
This monograph is a bridge between the classical theory and modern approach via arithmetic geometry.
Author | : Yann Bugeaud |
Publisher | : |
Total Pages | : 0 |
Release | : 2018 |
Genre | : Algebras, Linear |
ISBN | : 9783037191835 |
Download Linear Forms in Logarithms and Applications Book in PDF, ePub and Kindle
The aim of this book is to serve as an introductory text to the theory of linear forms in the logarithms of algebraic numbers, with a special emphasis on a large variety of its applications. We wish to help students and researchers to learn what is hidden inside the blackbox ‚Baker's theory of linear forms in logarithms' (in complex or in $p$-adic logarithms) and how this theory applies to many Diophantine problems, including the e#xB;ffective resolution of Diophantine equations, the $abc$-conjecture, and upper bounds for the irrationality measure of some real numbers. Written for a broad audience, this accessible and self-contained book can be used for graduate courses (some 30 exercises are supplied). Specialists will appreciate the inclusion of over 30 open problems and the rich bibliography of over 450 references.
Author | : Jennifer S. Balakrishnan |
Publisher | : Springer Nature |
Total Pages | : 587 |
Release | : 2022-03-15 |
Genre | : Mathematics |
ISBN | : 3030809145 |
Download Arithmetic Geometry, Number Theory, and Computation Book in PDF, ePub and Kindle
This volume contains articles related to the work of the Simons Collaboration “Arithmetic Geometry, Number Theory, and Computation.” The papers present mathematical results and algorithms necessary for the development of large-scale databases like the L-functions and Modular Forms Database (LMFDB). The authors aim to develop systematic tools for analyzing Diophantine properties of curves, surfaces, and abelian varieties over number fields and finite fields. The articles also explore examples important for future research. Specific topics include● algebraic varieties over finite fields● the Chabauty-Coleman method● modular forms● rational points on curves of small genus● S-unit equations and integral points.
Author | : Jan-Hendrik Evertse |
Publisher | : Cambridge University Press |
Total Pages | : 381 |
Release | : 2015-12-30 |
Genre | : Mathematics |
ISBN | : 1316432351 |
Download Unit Equations in Diophantine Number Theory Book in PDF, ePub and Kindle
Diophantine number theory is an active area that has seen tremendous growth over the past century, and in this theory unit equations play a central role. This comprehensive treatment is the first volume devoted to these equations. The authors gather together all the most important results and look at many different aspects, including effective results on unit equations over number fields, estimates on the number of solutions, analogues for function fields and effective results for unit equations over finitely generated domains. They also present a variety of applications. Introductory chapters provide the necessary background in algebraic number theory and function field theory, as well as an account of the required tools from Diophantine approximation and transcendence theory. This makes the book suitable for young researchers as well as experts who are looking for an up-to-date overview of the field.
Author | : Wolfgang M. Schmidt |
Publisher | : Springer |
Total Pages | : 224 |
Release | : 2006-12-08 |
Genre | : Mathematics |
ISBN | : 3540473742 |
Download Diophantine Approximations and Diophantine Equations Book in PDF, ePub and Kindle
"This book by a leading researcher and masterly expositor of the subject studies diophantine approximations to algebraic numbers and their applications to diophantine equations. The methods are classical, and the results stressed can be obtained without much background in algebraic geometry. In particular, Thue equations, norm form equations and S-unit equations, with emphasis on recent explicit bounds on the number of solutions, are included. The book will be useful for graduate students and researchers." (L'Enseignement Mathematique) "The rich Bibliography includes more than hundred references. The book is easy to read, it may be a useful piece of reading not only for experts but for students as well." Acta Scientiarum Mathematicarum
Author | : Alan Baker |
Publisher | : Cambridge University Press |
Total Pages | : 185 |
Release | : 2022-06-09 |
Genre | : Computers |
ISBN | : 100922994X |
Download Transcendental Number Theory Book in PDF, ePub and Kindle
Alan Baker's systematic account of transcendental number theory, with a new introduction and afterword explaining recent developments.
Author | : T. N. Shorey |
Publisher | : Cambridge University Press |
Total Pages | : 0 |
Release | : 2008-12-04 |
Genre | : Mathematics |
ISBN | : 9780521091701 |
Download Exponential Diophantine Equations Book in PDF, ePub and Kindle
This is a integrated presentation of the theory of exponential diophantine equations. The authors present, in a clear and unified fashion, applications to exponential diophantine equations and linear recurrence sequences of the Gelfond-Baker theory of linear forms in logarithms of algebraic numbers. Topics covered include the Thue equations, the generalised hyperelliptic equation, and the Fermat and Catalan equations. The necessary preliminaries are given in the first three chapters. Each chapter ends with a section giving details of related results.