Number Theory: Volume II: Analytic and Modern Tools

Number Theory: Volume II: Analytic and Modern Tools
ISBN-10
038749894X
ISBN-13
9780387498942
Series
Number Theory
Category
Mathematics
Pages
596
Language
English
Published
2008-12-17
Publisher
Springer Science & Business Media
Author
Henri Cohen

Description

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 local aspect, 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.

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