Small Solutions Of Quadratic Diophantine Equations
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Small Solutions Of Quadratic Diophantine Equations
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Author : Rainer Dietmann-Sopp
language : en
Publisher:
Release Date : 2001
Small Solutions Of Quadratic Diophantine Equations written by Rainer Dietmann-Sopp and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.
Quadratic Diophantine Equations
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Author : Titu Andreescu
language : en
Publisher: Springer
Release Date : 2015-06-29
Quadratic Diophantine Equations written by Titu Andreescu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-29 with Mathematics categories.
This text treats the classical theory of quadratic diophantine equations and guides the reader through the last two decades of computational techniques and progress in the area. The presentation features two basic methods to investigate and motivate the study of quadratic diophantine equations: the theories of continued fractions and quadratic fields. It also discusses Pell’s equation and its generalizations, and presents some important quadratic diophantine equations and applications. The inclusion of examples makes this book useful for both research and classroom settings.
Small Solutions Of Quadratic Diophantine Equations
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Author : Rainer Dietmann
language : en
Publisher:
Release Date : 2001
Small Solutions Of Quadratic Diophantine Equations written by Rainer Dietmann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.
Diophantine Methods Lattices And Arithmetic Theory Of Quadratic Forms
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Author : Wai Kiu Chan
language : en
Publisher: American Mathematical Soc.
Release Date : 2013
Diophantine Methods Lattices And Arithmetic Theory Of Quadratic Forms written by Wai Kiu Chan and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.
This volume contains the proceedings of the International Workshop on Diophantine Methods, Lattices, and Arithmetic Theory of Quadratic Forms. The articles cover the arithmetic theory of quadratic forms and lattices, as well as the effective Diophantine analysis with height functions.
Diophantine Equations And Inequalities In Algebraic Number Fields
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Author : Yuan Wang
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Diophantine Equations And Inequalities In Algebraic Number Fields written by Yuan Wang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The Algorithmic Resolution Of Diophantine Equations
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Author : Nigel P. Smart
language : en
Publisher: Cambridge University Press
Release Date : 1998-11-12
The Algorithmic Resolution Of Diophantine Equations written by Nigel P. Smart and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-11-12 with Mathematics categories.
A coherent account of the computational methods used to solve diophantine equations.
Diophantine Approximation
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Author : Robert F. Tichy
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-07-10
Diophantine Approximation written by Robert F. Tichy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-10 with Mathematics categories.
This volume contains 22 research and survey papers on recent developments in the field of diophantine approximation. The first article by Hans Peter Schlickewei is devoted to the scientific work of Wolfgang Schmidt. Further contributions deal with the subspace theorem and its applications to diophantine equations and to the study of linear recurring sequences. The articles are either in the spirit of more classical diophantine analysis or of geometric or combinatorial flavor. In particular, estimates for the number of solutions of diophantine equations as well as results concerning congruences and polynomials are established. Furthermore, the volume contains transcendence results for special functions and contributions to metric diophantine approximation and to discrepancy theory. The articles are based on lectures given at a conference at the Erwin Schr6dinger Institute in Vienna in 2003, in which many leading experts in the field of diophantine approximation participated. The editors are very grateful to the Erwin Schr6dinger Institute and to the FWF (Austrian Science Fund) for the financial support and they express their particular thanks to Springer-Verlag for the excellent cooperation. Robert E Tichy Diophantine Approximation H. E Schlickewei et al. , Editors 9 Springer-Verlag 2008 THE MATHEMATICAL WORK OF WOLFGANG SCHMIDT Hans Peter Schlickewei Mathematik Informatik, und Philipps-Universitiit Hans-Meerwein-Strasse, Marburg, 35032 Marburg, Germany k. Introduction Wolfgang Schmidt's mathematical activities started more than fifty years ago in 1955. In the meantime he has written more than 180 papers - many of them containing spectacular results and breakthroughs in different areas of number theory.
Polynomial Diophantine Equations
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Author : Bogdan Grechuk
language : en
Publisher: Springer Nature
Release Date : 2024-09-01
Polynomial Diophantine Equations written by Bogdan Grechuk and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-01 with Mathematics categories.
This book proposes a novel approach to the study of Diophantine equations: define an appropriate version of the equation’s size, order all polynomial Diophantine equations by size, and then solve the equations in order. Natural questions about the solution set of Diophantine equations are studied in this book using this approach. Is the set empty? Is it finite or infinite? Can all integer solutions be parametrized? By ordering equations by size, the book attempts to answer these questions in a systematic manner. When the size grows, the difficulty of finding solutions increases and the methods required to determine solutions become more advanced. Along the way, the reader will learn dozens of methods for solving Diophantine equations, each of which is illustrated by worked examples and exercises. The book ends with solutions to exercises and a large collection of open problems, often simple to write down yet still unsolved. The original approach pursued in this book makes it widely accessible. Many equations require only high school mathematics and creativity to be solved, so a large part of the book is accessible to high school students, especially those interested in mathematical competitions such as olympiads. The main intended audience is undergraduate students, for whom the book will serve as an unusually rich introduction to the topic of Diophantine equations. Many methods from the book will be useful for graduate students, while Ph.D. students and researchers may use it as a source of fascinating open questions of varying levels of difficulty.
Selecta Diophantine Problems And Polynomials
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Author : Andrzej Schinzel
language : en
Publisher: European Mathematical Society
Release Date : 2007
Selecta Diophantine Problems And Polynomials written by Andrzej Schinzel and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Analyse diophantienne categories.
Selected Papers Of Wang Yuan
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Author : Yuan Wang
language : en
Publisher: World Scientific
Release Date : 2005
Selected Papers Of Wang Yuan written by Yuan Wang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
This volume presents a comprehensive collection of Wang YuanOCOs original important papers which are not available elsewhere, since the majority of the papers were published in China. Covering both pure number theory and applied mathematics, this book is important for understanding Wang YuanOCOs academic career and also the development of Chinese mathematics in recent years, since Wang YuanOCOs work has a wide-ranging influence in China. Wang Yuan is a professor and academician of the Chinese Academy of Sciences. He received his honorable Doctorship from Hong Kong Baptist University. He has published 70 papers and ten books."