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
9 - The Number of Solutions of Discriminant Equations
from PART TWO - MONIC POLYNOMIALS AND INTEGRAL ELEMENTS OF GIVEN DISCRIMINANT, MONOGENIC ORDERS
Published online by Cambridge University Press: 27 October 2016
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
Summary
A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
- Type
- Chapter
- Information
- Discriminant Equations in Diophantine Number Theory , pp. 196 - 221Publisher: Cambridge University PressPrint publication year: 2016