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An Algebraic Arithmetic; Being an Exposition of the Theory and Practice of Advanced Arithmetic, Base

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Arithmetic Of Elliptic Curves

. This book treats the arithmetic approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry;

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The Arithmetic of Elliptic Curves

. This book treats the arithmetic theory of elliptic curves in its modern formulation, through the use of basic algebraic number theory and;

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The Arithmetic of Elliptic Curves

. This book treats the arithmetic approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry;

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Basic Structures of Function Field Arithmetic

graduate students with a solid understanding of algebraic number theory the opportunity to quickly reach the frontiers of knowledge in an important;

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Etale Cohomology Theory (Revised Edition)

Etale cohomology is an important branch in arithmetic geometry. This book covers the main materials in SGA 1, SGA 4, SGA 4 1/2 and SGA 5 on;

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Arithmetic Differential Equations

is an arithmetic analog of the theory of ordinary differential equations, where functions are replaced by integer numbers, the derivative;

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Cambridge Studies in Advanced Mathematics

last theorem is based. The book begins with an overview of the theory of automorphic forms on linear algebraic groups and then covers the basic;

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The Arithmetic of Dynamical Systems

This book provides an introduction to the relatively new discipline of arithmetic dynamics. Whereas classical discrete dynamics is the;

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Arithmetic of Quadratic Forms

This book is divided into two parts. The first part is preliminary and consists of algebraic number theory and the theory of semisimple;

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Introduction to Algebraic K-Theory. (AM-72), Volume 72

Algebraic K-theory describes a branch of algebra that centers about two functors. K0 and K1, which assign to each associative ring ? an;

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Rational Points and Arithmetic of Fundamental Groups

of sections of the fundamental group extension of an algebraic variety. Then, arithmetic assumptions on the base field are imposed and the local-to;

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Euler Systems. (AM-147), Volume 147

One of the most exciting new subjects in Algebraic Number Theory and Arithmetic Algebraic Geometry is the theory of Euler systems. Euler;

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Algebraic Theory of Numbers. (AM-1), Volume 1

concepts in arithmetic. The book begins with the definitions and properties of algebraic fields, which are relied upon throughout. The theory;

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Algebraic Theory of Numbers

concepts in arithmetic. The book begins with the definitions and properties of algebraic fields, which are relied upon throughout. The theory;

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Algebraic Geometry & Arithmetic Curves

This new-in-paperback edition provides a general introduction to algebraic and arithmetic geometry, starting with the theory of schemes;

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Lectures on Logarithmic Algebraic Geometry

analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the;

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Digital Arithmetic

Digital arithmetic plays an important role in the design of general-purpose digital processors and of embedded systems for signal;

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Galois Representations in Arithmetic Algebraic Geometry

title was interpreted loosely and the symposium covered recent developments on the interface between algebraic number theory and arithmetic;

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Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces

arithmetic perspective; A systematic presentation and comparison between different notions of hyperbolicity, as an introduction to the Lang-Vojta;

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An Introduction to Non-Abelian Class Field Theory

This monograph provides a brief exposition of automorphic forms of weight 1 and their applications to arithmetic, especially to Galois;

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Noncommutative Geometry

Noncommutative geometry studies an interplay between spatial forms and algebras with non-commutative multiplication. This book covers the;

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Classical Theory of Arithmetic Functions

This volume focuses on the classical theory of number-theoretic functions emphasizing algebraic and multiplicative techniques. It contains;

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Algebraic And Arithmetic Structures Of Moduli Spaces (Sapporo 2007)

The conference Algebraic and Arithmetic Structures of Moduli Spaces was held in September 2007, at Sapporo (Hokkaido University). Twenty;

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Towards an Arithmetical Logic

theories, from arithmetic or number theory to algebraic geometry. Arithmetical logic is the term used to refer to the internal logic of classical;

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Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127

The arithmetic Riemann-Roch Theorem has been shown recently by Bismut-Gillet-Soul. The proof mixes algebra, arithmetic, and analysis. The;

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Modular Forms And Galois Cohomology

last theorem is based. The book begins with an overview of the theory of automorphic forms on linear algebraic groups and then covers the basic;

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