Binary Quadratic Forms: An Algorithmic Approach, Vol. 20

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.

Buchmann: Professor of Computer Science and Mathematics special areas number theory, computer algebra, cryptography associate editor Journal of Cryptology Leibniz Award of the Deutsche Forschungsgemeinschaft Author of "Introduction to cryptography" UTM, translated into seven languages Member of Berlin-Brandenburg Academy of Sciences Member of Academy of Sciences and Literature, Mainz

Vollmer: Thesis and several articles on algorithms for Class Group and Regulator computation in quadratic fields.