Exponential Diophantine Equations
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| Author | : T. N. Shorey |
| Publisher | : Cambridge University Press |
| Total Pages | : 0 |
| Release | : 2008-12-04 |
| Genre | : Mathematics |
| ISBN | : 9780521091701 |
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.
| Author | : T. N. Shorey |
| Publisher | : Cambridge University Press |
| Total Pages | : 256 |
| Release | : 1986-11-27 |
| Genre | : Mathematics |
| ISBN | : 9780521268264 |
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.
| Author | : T. N. Shorey |
| Publisher | : Cambridge University Press |
| Total Pages | : 256 |
| Release | : 1986-11-27 |
| Genre | : Mathematics |
| ISBN | : 9780521268264 |
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.
| Author | : Titu Andreescu |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 350 |
| Release | : 2010-09-02 |
| Genre | : Mathematics |
| ISBN | : 0817645497 |
This problem-solving book is an introduction to the study of Diophantine equations, a class of equations in which only integer solutions are allowed. The presentation features some classical Diophantine equations, including linear, Pythagorean, and some higher degree equations, as well as exponential Diophantine equations. Many of the selected exercises and problems are original or are presented with original solutions. An Introduction to Diophantine Equations: A Problem-Based Approach is intended for undergraduates, advanced high school students and teachers, mathematical contest participants — including Olympiad and Putnam competitors — as well as readers interested in essential mathematics. The work uniquely presents unconventional and non-routine examples, ideas, and techniques.
| Author | : Ilker Inam |
| Publisher | : Springer |
| Total Pages | : 367 |
| Release | : 2019-04-17 |
| Genre | : Mathematics |
| ISBN | : 3030125580 |
This volume collects lecture notes and research articles from the International Autumn School on Computational Number Theory, which was held at the Izmir Institute of Technology from October 30th to November 3rd, 2017 in Izmir, Turkey. Written by experts in computational number theory, the chapters cover a variety of the most important aspects of the field. By including timely research and survey articles, the text also helps pave a path to future advancements. Topics include: Modular forms L-functions The modular symbols algorithm Diophantine equations Nullstellensatz Eisenstein series Notes from the International Autumn School on Computational Number Theory will offer graduate students an invaluable introduction to computational number theory. In addition, it provides the state-of-the-art of the field, and will thus be of interest to researchers interested in the field as well.
| Author | : Michael Jacobson |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 504 |
| Release | : 2008-12-02 |
| Genre | : Mathematics |
| ISBN | : 038784922X |
Pell’s Equation is a very simple Diophantine equation that has been known to mathematicians for over 2000 years. Even today research involving this equation continues to be very active, as can be seen by the publication of at least 150 articles related to this equation over the past decade. However, very few modern books have been published on Pell’s Equation, and this will be the first to give a historical development of the equation, as well as to develop the necessary tools for solving the equation. The authors provide a friendly introduction for advanced undergraduates to the delights of algebraic number theory via Pell’s Equation. The only prerequisites are a basic knowledge of elementary number theory and abstract algebra. There are also numerous references and notes for those who wish to follow up on various topics.
| Author | : R. C. Mason |
| Publisher | : Cambridge University Press |
| Total Pages | : 142 |
| Release | : 1984-04-26 |
| Genre | : Mathematics |
| ISBN | : 9780521269834 |
A self-contained account of a new approach to the subject.
| Author | : Alexander Soifer |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 120 |
| Release | : 2009-04-28 |
| Genre | : Education |
| ISBN | : 0387746463 |
Various elementary techniques for solving problems in algebra, geometry, and combinatorics are explored in this second edition of Mathematics as Problem Solving. Each new chapter builds on the previous one, allowing the reader to uncover new methods for using logic to solve problems. Topics are presented in self-contained chapters, with classical solutions as well as Soifer's own discoveries. With roughly 200 different problems, the reader is challenged to approach problems from different angles. Mathematics as Problem Solving is aimed at students from high school through undergraduate levels and beyond, educators, and the general reader interested in the methods of mathematical problem solving.
| Author | : N.M Korobov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 223 |
| Release | : 2013-06-29 |
| Genre | : Mathematics |
| ISBN | : 9401580324 |
The method of exponential sums is a general method enabling the solution of a wide range of problems in the theory of numbers and its applications. This volume presents an exposition of the fundamentals of the theory with the help of examples which show how exponential sums arise and how they are applied in problems of number theory and its applications. The material is divided into three chapters which embrace the classical results of Gauss, and the methods of Weyl, Mordell and Vinogradov; the traditional applications of exponential sums to the distribution of fractional parts, the estimation of the Riemann zeta function; and the theory of congruences and Diophantine equations. Some new applications of exponential sums are also included. It is assumed that the reader has a knowledge of the fundamentals of mathematical analysis and of elementary number theory.
| Author | : Benne M. M. De Weger |
| Publisher | : |
| Total Pages | : 232 |
| Release | : 1989 |
| Genre | : Algebra |
| ISBN | : |
