"Challenge: Can you find all the integers a, b, c satisfying 2a²+3b²=5c²? Looks simple, and there are in fact a number of easy solutions. But most of them turn out to be anything but obvious! There are infinitely many possibilities, and as any computer will tell you, each of a, …
"This book is devoted to Diophantine equations where the solutions are taken from an integral domain of characteristic 0 that is finitely generated over Z, that is a domain of the shape Z[z1; : : : ; zr] with quotient field of characteristic 0, where the generators z1; : : : ; z…
"This book is devoted to Diophantine equations where the solutions are taken from an integral domain of characteristic 0 that is finitely generated over Z, that is a domain of the shape Z[z1; : : : ; zr] with quotient field of characteristic 0, where the generators z1; : : : ; z…
"This book is devoted to Diophantine equations where the solutions are taken from an integral domain of characteristic 0 that is finitely generated over Z, that is a domain of the shape Z[z1; : : : ; zr] with quotient field of characteristic 0, where the generators z1; : : : ; z…
"This book is devoted to Diophantine equations where the solutions are taken from an integral domain of characteristic 0 that is finitely generated over Z, that is a domain of the shape Z[z1; : : : ; zr] with quotient field of characteristic 0, where the generators z1; : : : ; z…
This book provides the first thorough treatment of effective results and methods for Diophantine equations over finitely generated domains. Compiling diverse results and techniques from papers written in recent decades, the text includes an in-depth analysis of classical equatio…
"This book is devoted to Diophantine equations where the solutions are taken from an integral domain of characteristic 0 that is finitely generated over Z, that is a domain of the shape Z[z1; : : : ; zr] with quotient field of characteristic 0, where the generators z1; : : : ; z…
"This book is devoted to Diophantine equations where the solutions are taken from an integral domain of characteristic 0 that is finitely generated over Z, that is a domain of the shape Z[z1; : : : ; zr] with quotient field of characteristic 0, where the generators z1; : : : ; z…
"This book is devoted to Diophantine equations where the solutions are taken from an integral domain of characteristic 0 that is finitely generated over Z, that is a domain of the shape Z[z1; : : : ; zr] with quotient field of characteristic 0, where the generators z1; : : : ; z…
Diophantine equations -- Elementary methods for solving Diophantine equations -- Some classical Diophantine equations -- Pell-type equations -- Some advanced methods for solving Diophantine equations -- Solutions to exercises and problems -- Solutions to elementary methods for s…
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 material is organized in two parts: Part I introduces the reader to elementary methods necessary in solving Diophantine equat…
"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 material is organized in two parts: Part I introduces the reader to elementary methods necessary in solving Diophantine equa…
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 material is organized in two parts: Part I introduces the reader to elementary methods necessary in solving Diophantine equat…
by Shorey, T. N., Tijdeman, R.
fromCambridge tracts in mathematics
