Screen LibraryElliptic diophantine equations : a concrete approach via the elliptic logarithm /
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 nu...
Saved in:
| Main Authors: | |
|---|---|
| Corporate Authors: | |
| Published: |
De Gruyter,
|
| Publisher Address: | Berlin/Boston : |
| Publication Dates: | [2013] |
| Literature type: | eBook |
| Language: | English |
| Series: |
De gruyter series in discrete mathematics and applications;
2 |
| Subjects: | |
| Online Access: |
http://dx.doi.org/10.1515/9783110281149 http://www.degruyter.com/doc/cover/9783110281149.jpg |
| 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. |
| Carrier Form: |
1 online resource(xvi,179pages) : illustrations. Also available in print edition. |
| ISBN: | 9783110281149（electronic bk.） |
| Index Number: | QA242 |
| CLC: | O156.7 |
| 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. |