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Jan-Hendrik Everts Discriminant Equations in Diophantine (Hardback) (UK IMPORT)

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Specificaties

Objectstaat
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Book Title
Discriminant Equations in Diophantine Number Theory
Publication Name
Discriminant Equations in Diophantine Number Theory
Title
Discriminant Equations in Diophantine Number Theory
Author
Jan-Hendrik Evertse, Kálmán GyőRy
Format
Hardcover
EAN
9781107097612
ISBN
9781107097612
Publisher
Cambridge University Press
Genre
Science Nature & Math
Release Year
2016
Release Date
03/11/2016
Language
English
Country/Region of Manufacture
GB
Item Height
1.4 in
Item Length
9.3 in
Item Width
6.2 in
Item Weight
30.5 Oz
Series
New Mathematical Monographs
Subject Area
Mathematics
Subject
Number Theory
Publication Year
2016
Type
Textbook
Number of Pages
476 Pages

Over dit product

Product Information

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.

Product Identifiers

Publisher
Cambridge University Press
ISBN-10
1107097614
ISBN-13
9781107097612
eBay Product ID (ePID)
221616233

Product Key Features

Author
Jan-Hendrik Evertse, Kálmán GyőRy
Publication Name
Discriminant Equations in Diophantine Number Theory
Format
Hardcover
Language
English
Subject
Number Theory
Publication Year
2016
Series
New Mathematical Monographs
Type
Textbook
Subject Area
Mathematics
Number of Pages
476 Pages

Dimensions

Item Length
9.3 in
Item Height
1.4 in
Item Width
6.2 in
Item Weight
30.5 Oz

Additional Product Features

LCCN
2017-287147
Intended Audience
Scholarly & Professional
Series Volume Number
Series Number 32
Lc Classification Number
Qa242
Reviews
'... the book is very interesting and well written. It contains the motivational material necessary for those entering in the field of discriminant equations and succeeds to bring the reader to the forefront of research. Graduates and researchers in the field of number theory will find it a very valuable resource.' Dimitros Poulakis, Zentralblatt MATH
Table of Content
Preface; Summary; Part I. Preliminaries: 1. Finite étale algebras over fields; 2. Dedekind domains; 3. Algebraic number fields; 4. Tools from the theory of unit equations; Part II. 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 III. Binary Forms of Given Discriminant: 12. A brief overview of the basic finiteness theorems; 13. Reduction theory of binary forms; 14. Effective results for binary forms of given discriminant; 15. Semi-effective results for binary forms of given discriminant; 16. Invariant orders of binary forms; 17. On the number of equivalence classes of binary forms of given discriminant; 18. Further applications; Glossary of frequently used notation; References; Index.
Copyright Date
2016
Dewey Decimal
512.74
Dewey Edition
23

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