Number Theory, Volume 2 : Analytic and Modern Tools

Henri Cohen

ISBN 10: 0387498931 / ISBN 13: 9780387498935

Edité par Springer New York, 2007

A propos de cet article

Druck auf Anfrage Neuware - Printed after ordering - This book deals with several aspects of what is now called 'explicit number theory.' The central theme is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three of its most basic aspects. The first is the local aspect, the second is the global aspect, and the third aspect is the theory of zeta and L-functions. This last aspect can be considered as a unifying theme for the whole subject, and embodies in a beautiful way the local and global aspects of Diophantine problems. This unique collection of topics contains more than 350 exercises and its text is largely self-contained.

N° de réf. du vendeur 9780387498935

Détails bibliographiques

• Titre: Number Theory, Volume 2 : Analytic and Modern Tools
• Éditeur: Springer New York
• Date de parution: 2007
• Langue: anglais
• ISBN à 10 chiffres: 0387498931
• ISBN à 13 chiffres: 9780387498935
• Reliure: Buch
• État de l'article: Neu
• Dimensions: 244 L x 162 H x 35 P (en millimètres) 244 millimètres de largeur par 162 millimètres de hauteur par 35 millimètres de profondeur
• Poids: 972 grammes

A propos de ce titre

Synopsis

This book deals with several aspects of what is now called "explicit number theory." The central theme is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three of its most basic aspects. The first is the local aspect, the second is the global aspect, and the third aspect is the theory of zeta and L-functions. This last aspect can be considered as a unifying theme for the whole subject, and embodies in a beautiful way the local and global aspects of Diophantine problems. This unique collection of topics contains more than 350 exercises and its text is largely self-contained.

Présentation de l'éditeur

This book deals with several aspects of what is now called "explicit number theory." The central theme is the solution of Diophantine equations. This unique collection of topics contains more than 350 exercises and its text is largely self-contained.