Discriminant Equations in Diophantine Number Theory
eBook - PDF

Discriminant Equations in Diophantine Number Theory

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Discriminant Equations in Diophantine Number Theory

About this book

Discriminant equations are an important class of Diophantine equations with close ties to algebraic number theory, Diophantine approximation and Diophantine geometry. This book is the first comprehensive account of discriminant equations and their applications. It brings together many aspects, including effective results over number fields, effective results over finitely generated domains, estimates on the number of solutions, applications to algebraic integers of given discriminant, power integral bases, canonical number systems, root separation of polynomials and reduction of hyperelliptic curves. The authors' previous title, Unit Equations in Diophantine Number Theory, laid the groundwork by presenting important results that are used as tools in the present book. This material is briefly summarized in the introductory chapters along with the necessary basic algebra and algebraic number theory, making the book accessible to experts and young researchers alike.

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Yes, you can access Discriminant Equations in Diophantine Number Theory by Jan-Hendrik Evertse,Kálmán Győry in PDF and/or ePUB format, as well as other popular books in Mathematics & Number Theory. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Cambridge University Press
Year
2016
Print ISBN
9781107097612
eBook ISBN
9781316728611
Topic
Mathematics
Subtopic
Number Theory
Index
Mathematics

Table of contents

  1. Cover
  2. Half title
  3. Series
  4. Title
  5. Copyright
  6. Contents
  7. Preface
  8. Acknowledgments
  9. Summary
  10. Part One Preliminaries
  11. Part Two Monic Polynomials and Integral Elements of Given Discriminant, Monogenic Orders
  12. Part Three Binary Forms of Given Discriminant
  13. Glossary of Frequently Used Notation
  14. References
  15. Index