Number Theory: Volume II: Analytic and Modern Tools (Graduate Texts in Mathematics, 240)
Product Description
Number Theory: Volume II: Analytic and Modern Tools (Graduate Texts in Mathematics, 240)
<P>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.</P>
Technical Specifications
Customers who bought this also bought
You might also like
Number Theory: Volume I: Tools and Diophantine Equations (Graduate Texts in Mathematics)
Problems in Analytic Number Theory (Graduate Texts in Mathematics)
The 1-2-3 of Modular Forms: Lectures at a Summer School in Nordfjordeid, Norway (Universitext)
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra (Undergraduate Texts in Mathematics)
Rational Points on Elliptic Curves (Undergraduate Texts in Mathematics)
Complex Analysis (Universitext)
An Introduction to Manifolds (Universitext)
Geometry Revealed: A Jacob's Ladder to Modern Higher Geometry
Complex Analysis 2: Riemann Surfaces, Several Complex Variables, Abelian Functions, Higher Modular Functions (Universitext)