| Description |
1 online resource (195 pages) |
| Series |
De Gruyter series in discrete mathematics and applications ; 2 |
|
De Gruyter series in discrete mathematics and applications ; 2.
|
| Contents |
Frontmatter -- Preface -- Contents -- Chapter 1 Elliptic curves and equations -- Chapter 2 Heights -- Chapter 3 Weierstrass equations over C and R -- Chapter 4 The elliptic logarithm method -- Chapter 5 Linear form for the Weierstrass equation -- Chapter 6 Linear form for the quartic equation -- Chapter 7 Linear form for simultaneous Pell equations -- Chapter 8 Linear form for the general elliptic equation -- Chapter 9 Bound for the coefficients of the linear form -- Chapter 10 Reducing the bound obtained in Chapter 9 -- Chapter 11 S-integer solutions of Weierstrass equations -- List of symbols -- Bibliography -- Index |
| Summary |
This book presents in a unified way the beautiful and deep mathematics, both theoretical and computational, on which the explicit solution of an elliptic Diophantine equation is based. It collects numerous results and methods that are scattered in literature. Some results are even hidden behind a number of routines in software packages, like Magma. This book is suitable for students in mathematics, as well as professional mathematicians |
| Analysis |
Algebraic Number Theory |
|
Computational Method |
|
Diophantine Geometry |
|
Elliptic Diophantine Equation |
|
Magma |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| Subject |
Diophantine equations.
|
|
Elliptic functions.
|
|
MATHEMATICS -- Algebra -- Intermediate.
|
|
Diophantine equations
|
|
Elliptic functions
|
| Form |
Electronic book
|
| ISBN |
9783110281149 |
|
3110281147 |
|
