Binary Quadratic Forms: An Algorithmic Approach / Edition 1

Binary Quadratic Forms: An Algorithmic Approach / Edition 1

by Johannes Buchmann, Ulrich Vollmer
     
 

ISBN-10: 3540463674

ISBN-13: 9783540463672

Pub. Date: 02/28/2007

Publisher: Springer Berlin Heidelberg

The book deals with algorithmic problems related to binary quadratic forms. It uniquely focuses on the algorithmic aspects of the theory. The book introduces the reader to important areas of number theory such as diophantine equations, reduction theory of quadratic forms, geometry of numbers and algebraic number theory. The book explains applications to

Overview

The book deals with algorithmic problems related to binary quadratic forms. It uniquely focuses on the algorithmic aspects of the theory. The book introduces the reader to important areas of number theory such as diophantine equations, reduction theory of quadratic forms, geometry of numbers and algebraic number theory. The book explains applications to cryptography and requires only basic mathematical knowledge. The author is a world leader in number theory.

Product Details

ISBN-13:
9783540463672
Publisher:
Springer Berlin Heidelberg
Publication date:
02/28/2007
Series:
Algorithms and Computation in Mathematics Series, #20
Edition description:
2007
Pages:
318
Product dimensions:
6.10(w) x 9.25(h) x 0.04(d)

Related Subjects

Table of Contents

Binary Quadratic Forms.- Equivalence of Forms.- Constructing Forms.- Forms, Bases, Points, and Lattices.- Reduction of Positive Definite Forms.- Reduction of Indefinite Forms.- Multiplicative Lattices.- Quadratic Number Fields.- Class Groups.- Infrastructure.- Subexponential Algorithms.- Cryptographic Applications.

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