Discriminant Equations in Diophantine Number Theory by Kalman Gyory, Jan-Hendrik Evertse (Hardcover, 2016)

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This book is the first comprehensive account of discriminant equations and their applications. 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.

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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

PublisherCambridge University Press
ISBN-139781107097612
eBay Product ID (ePID)223025596

Product Key Features

Number of Pages476 Pages
LanguageEnglish
Publication NameDiscriminant Equations in Diophantine Number Theory
Publication Year2016
SubjectMathematics
TypeTextbook
AuthorKalman Gyory, Jan-Hendrik Evertse
SeriesNew Mathematical Monographs
FormatHardcover

Dimensions

Item Height236 mm
Item Weight860 g
Item Width158 mm

Additional Product Features

Country/Region of ManufactureUnited Kingdom
Title_AuthorJan-Hendrik Evertse, Kalman Gyory

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