Number Theory, Volume 2: Analytic and Modern Tools - Hardcoverby Henri Cohen (Author) 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