Overview

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.

Full Product Details

9780387564746

Table of Contents

Reviews

<p>From the reviews: <p> Number Theory, is poised to fill the gap as a core text in number theory . So, all in all, Henri Cohen s Number Theory are, to any mind, an amazing achievement. The coverage is thorough and generally all but encyclopedic, the exercises are good, some are excellent, some will keep even the best-prepared student busy for a long time, and the cultural level of the book is very high. (Michael Berg, MathDL, July, 2007)<p> The book under review deals with Diophantine analysis from a number-theoretic point of view. The clarity of the exposition is the one we expect from the author of two highly successful books on computational number theory and makes this volume a must-read for researchers in Diophantine analysis. (Franz Lemmermeyer, Zentralblatt MATH, Vol. 1119 (21), 2007)<p> Cohen (Universite Bordeaux I, France), an instant classic, uniquely bridges the gap between old-fashioned, naive treatments and the many modern books available that develop the tools justo

Author Information

Tab Content 6

Customer Reviews

Recent Reviews

Countries Available