Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgments
- Summary
- PART ONE PRELIMINARIES
- PART TWO MONIC POLYNOMIALS AND INTEGRAL ELEMENTS OF GIVEN DISCRIMINANT, MONOGENIC ORDERS
- 5 Basic Finiteness Theorems
- 6 Effective Results over Z
- 7 Algorithmic Resolution of Discriminant Form and Index Form Equations
- 8 Effective Results over the S-integers of a Number Field
- 9 The Number of Solutions of Discriminant Equations
- 10 Effective Results over Finitely Generated Domains
- 11 Further Applications
- PART THREE BINARY FORMS OF GIVEN DISCRIMINANT
- Glossary of Frequently Used Notation
- References
- Index
8 - Effective Results over the S-integers of a Number Field
from PART TWO - MONIC POLYNOMIALS AND INTEGRAL ELEMENTS OF GIVEN DISCRIMINANT, MONOGENIC ORDERS
Published online by Cambridge University Press: 27 October 2016
- Frontmatter
- Contents
- Preface
- Acknowledgments
- Summary
- PART ONE PRELIMINARIES
- PART TWO MONIC POLYNOMIALS AND INTEGRAL ELEMENTS OF GIVEN DISCRIMINANT, MONOGENIC ORDERS
- 5 Basic Finiteness Theorems
- 6 Effective Results over Z
- 7 Algorithmic Resolution of Discriminant Form and Index Form Equations
- 8 Effective Results over the S-integers of a Number Field
- 9 The Number of Solutions of Discriminant Equations
- 10 Effective Results over Finitely Generated Domains
- 11 Further Applications
- PART THREE BINARY FORMS OF GIVEN DISCRIMINANT
- Glossary of Frequently Used Notation
- References
- Index
Summary
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- Chapter
- Information
- Discriminant Equations in Diophantine Number Theory , pp. 148 - 195Publisher: Cambridge University PressPrint publication year: 2016