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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 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 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 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 Diophantine Equations Over Function Fields by : R. C. Mason
Download or read book Diophantine Equations Over Function Fields written by R. C. Mason and published by Cambridge University Press. This book was released on 1984-04-26 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained account of a new approach to the subject.
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 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 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 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 The Diophantine Frobenius Problem by : Jorge L. Ramírez Alfonsín
Download or read book The Diophantine Frobenius Problem written by Jorge L. Ramírez Alfonsín and published by OUP Oxford. This book was released on 2005-12-01 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the early part of the last century, Ferdinand Georg Frobenius (1849-1917) raised he following problem, known as the Frobenius Problem (FP): given relatively prime positive integers a1,...,an, find the largest natural number (called the Frobenius number and denoted by g(a1,...,an) that is not representable as a nonnegative integer combination of a1,...,an, . At first glance FP may look deceptively specialized. Nevertheless it crops up again and again in the most unexpected places and has been extremely useful in investigating many different problems. A number of methods, from several areas of mathematics, have been used in the hope of finding a formula giving the Frobenius number and algorithms to calculate it. The main intention of this book is to highlight such methods, ideas, viewpoints and applications to a broader audience.
Book Synopsis Mathematics as Problem Solving by : Alexander Soifer
Download or read book Mathematics as Problem Solving written by Alexander Soifer and published by Springer Science & Business Media. This book was released on 2009-04-28 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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:
Book Synopsis Understanding Anatomy of Exponential Diophantine 3-Term Equations by : Rajen Merchant
Download or read book Understanding Anatomy of Exponential Diophantine 3-Term Equations written by Rajen Merchant and published by . This book was released on 2020-09-28 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is specially written for students and researchers in mathematics, particularly number theory. Professors and instructors teaching this subject will find it very useful. This monograph develops a clear understanding of the structure of the exponential diophantine 3-term equations and their solutions. Various components of an exponential diophantine equation and their roles are described in detail. A combinatorial approach is used to classify and analyze solutions to exponential diophantine 3-term equations. To classify these solutions, all possible ways these solutions can occur are examined. The analysis presented reveals that these solutions can be classified into three classes and six sub-classes. Properties of each class of solutions are described in detail. We observe that each exponential diophantine 3-term equation imposes its own requirements on its solutions. We discuss how these requirements of an exponential diophantine equation can affect solutions in each class. We apply the classification developed here to relate to the results for the Pythagorean equation, the Catalan equation, and the Ramanujan-Nagell equation. Finally, we employ the concepts developed in this monograph and present twelve proofs and four conjectures that help us analyze and understand the Fermat's Last Theorem and the Beal's conjecture. These four conjectures are much smaller in scope.
Book Synopsis Randomness and Complexity by : Cristian Calude
Download or read book Randomness and Complexity written by Cristian Calude and published by World Scientific. This book was released on 2007 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a collection of papers written by a selection of eminent authors from around the world in honour of Gregory Chaitin's 60th birthday. This is a unique volume including technical contributions, philosophical papers and essays.
Book Synopsis Geometric Theorems, Diophantine Equations, and Arithmetic Functions by : J. Sándor
Download or read book Geometric Theorems, Diophantine Equations, and Arithmetic Functions written by J. Sándor and published by Infinite Study. This book was released on 2002 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt:
