Articles liés à Discriminant Equations in Diophantine Number Theory

Discriminant Equations in Diophantine Number Theory - Couverture rigide

Livre 21 sur 31: New Mathematical Monographs

Evertse, Jan-Hendrik; Győry, Kálmán

 
9781107097612: Discriminant Equations in Diophantine Number Theory
Couverture rigide
ISBN 10 : 1107097614 ISBN 13 : 9781107097612
Editeur : Cambridge University Press, 2016

Synopsis

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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À propos des auteurs

Jan-Hendrik Evertse works in the Mathematical Institute at Leiden University. His research concentrates on Diophantine approximation and applications to Diophantine problems. In this area he has obtained some influential results, in particular on estimates for the numbers of solutions of Diophantine equations and inequalities.

Kálmán Győry is Professor Emeritus at the University of Debrecen, a member of the Hungarian Academy of Sciences and a well-known researcher in Diophantine number theory. Over his career he has obtained several significant and pioneering results, among others on unit equations and decomposable form equations, and their various applications. Győry is also the founder and leader of the Number Theory Research Group in Debrecen, which consists of his former students and their descendants.

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Éditeur
Cambridge University Press
Date d'édition
2016
Langue
anglais
ISBN 10 
1107097614
ISBN 13 
9781107097612
Reliure
Relié
Nombre de pages
476
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

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