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Some Exponential Diophantine Equations
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Book Synopsis Exponential Diophantine Equations by : T. N. Shorey
Download or read book Exponential Diophantine Equations written by T. N. Shorey and published by Cambridge University Press. This book was released on 2008-12-04 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis An Introduction to Diophantine Equations by : Titu Andreescu
Download or read book An Introduction to Diophantine Equations written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2010-09-02 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Some Exponential Diophantine Equations by : Nobuhiro Terai
Download or read book Some Exponential Diophantine Equations written by Nobuhiro Terai and published by . This book was released on 1993 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Notes from the International Autumn School on Computational Number Theory by : Ilker Inam
Download or read book Notes from the International Autumn School on Computational Number Theory written by Ilker Inam and published by Springer. This book was released on 2019-04-17 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Diophantine Equations by : Sudhanshu Aggarwal
Download or read book Diophantine Equations written by Sudhanshu Aggarwal and published by Independently Published. This book was released on 2021-08-18 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book "Diophantine Equations" is presented for students and researchers working in the field of number theory. Diophantine equations are those equations which are to be solved in integers. Diophantine equations are very important equations of theory of numbers and have many important applications in algebra, analytical geometry and trigonometry. The present book describes various methods for handling Diophantine equations. The present book is divided into five chapters. 1. ON THE NON-LINEAR DIOPHANTINE EQUATION 79x+97y=z2 (Nidhi Sharma, Shahida A.T., Renu Chaudhary) 12-23 2. ON THE EXPONENTIAL DIOPHANTINE EQUATION M3p+M7q=r2 (Sanjay Kumar, Aakansha Vyas, Gyanvendra Pratap Singh) 24-31 3. ON THE SOLUTIONS OF EXPONENTIAL DIOPHANTINE EQUATION kx + (k + 10)y= z2 (Deepak Gupta) 32-41 4. DIOPHANTINE EQUATION 787x+797y=z2 (Raman Chauhan, Swarg Deep Sharma, Seema Agrawal) 42-48 5. DIOPHANTINE EQUATIONS α2-Dβ2=1 ANDα2-Dβ2=-1 (Sudhanshu Aggarwal, Rajesh Pandey, Eshita Pandey) 49-64 Dr. Sudhanshu Aggarwal Dr. Himanshu Pandey Dr. Satish Kumar Dr. Anjana Rani Gupta
Book Synopsis Exponential Diophantine Equations with Four Terms by : Mo Deze
Download or read book Exponential Diophantine Equations with Four Terms written by Mo Deze and published by . This book was released on 1991 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quadratic Diophantine Equations by : Titu Andreescu
Download or read book Quadratic Diophantine Equations written by Titu Andreescu and published by Springer. This book was released on 2015-06-29 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Exponential Sums and their Applications by : N.M Korobov
Download or read book Exponential Sums and their Applications written by N.M Korobov and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Art of Mathematical Problem Solving by : Richard M. Beekman
Download or read book The Art of Mathematical Problem Solving written by Richard M. Beekman and published by Lulu.com. This book was released on 2016-01-30 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is a fine art, like painting, sculpture, or music. This book teaches the art of solving challenging mathematics problems. Part I presents a general process for solving problems. Part II contains 35 difficult and challenging mathematics problems with complete solutions. The goal is to teach the reader how to proceed from an initial state of "panic and fear" to finding a beautiful and elegant solution to a problem.
Book Synopsis Algorithms for Diophantine Equations by : Benne M. M. De Weger
Download or read book Algorithms for Diophantine Equations written by Benne M. M. De Weger and published by . This book was released on 1989 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On some properties of the Diophantine equations by : Abdullah-Al-Kafi Majumdar
Download or read book On some properties of the Diophantine equations written by Abdullah-Al-Kafi Majumdar and published by Infinite Study. This book was released on with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper gives some properties related to the Diophantine equations a2 = b2 ± bc +c2. It has been shown that, in some cases, each of the two Diophantine equations has multiple solutions. The formulas for multiple solutions are derived.
Book Synopsis Random Reals and Exponential Diophantine Equations by : G. J. Chaitin
Download or read book Random Reals and Exponential Diophantine Equations written by G. J. Chaitin and published by . This book was released on 1986 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Hilbert's Tenth Problem by : I︠U︡riĭ V. Matii︠a︡sevich
Download or read book Hilbert's Tenth Problem written by I︠U︡riĭ V. Matii︠a︡sevich and published by MIT Press. This book was released on 1993 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the full, self-contained negative solution of Hilbert's 10th problem.
Book Synopsis Some Diophantine Equations with Complex-valued Exponents by : John Zuehlke
Download or read book Some Diophantine Equations with Complex-valued Exponents written by John Zuehlke and published by . This book was released on 2006 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Diophantine Approximation on Linear Algebraic Groups by : Michel Waldschmidt
Download or read book Diophantine Approximation on Linear Algebraic Groups written by Michel Waldschmidt and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 649 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of transcendental numbers is closely related to the study of diophantine approximation. This book deals with values of the usual exponential function ez: a central open problem is the conjecture on algebraic independence of logarithms of algebraic numbers. Two chapters provide complete and simplified proofs of zero estimates (due to Philippon) on linear algebraic groups.
Book Synopsis Analytic Methods for Diophantine Equations and Diophantine Inequalities by : H. Davenport
Download or read book Analytic Methods for Diophantine Equations and Diophantine Inequalities written by H. Davenport and published by Cambridge University Press. This book was released on 2005-02-07 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harold Davenport was one of the truly great mathematicians of the twentieth century. Based on lectures he gave at the University of Michigan in the early 1960s, this book is concerned with the use of analytic methods in the study of integer solutions to Diophantine equations and Diophantine inequalities. It provides an excellent introduction to a timeless area of number theory that is still as widely researched today as it was when the book originally appeared. The three main themes of the book are Waring's problem and the representation of integers by diagonal forms, the solubility in integers of systems of forms in many variables, and the solubility in integers of diagonal inequalities. For the second edition of the book a comprehensive foreword has been added in which three prominent authorities describe the modern context and recent developments. A thorough bibliography has also been added.
Book Synopsis Solving Exponential Diophantine Equations Using Lattice Basis Reduction Algorithms by : B. M. M. de Weger
Download or read book Solving Exponential Diophantine Equations Using Lattice Basis Reduction Algorithms written by B. M. M. de Weger and published by . This book was released on 1986 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
