Elliptic Diophantine Equations : : A Concrete Approach via the Elliptic Logarithm / / Nikos Tzanakis.
This book presents in a unified and concrete 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 the literature. Some results are hidd...
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| Superior document: | Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 |
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| VerfasserIn: | |
| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2013] ©2013 |
| Year of Publication: | 2013 |
| Language: | English |
| Series: | De Gruyter Series in Discrete Mathematics and Applications ,
2 |
| Online Access: | |
| Physical Description: | 1 online resource (179 p.) |
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Table of 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