Algorithmic Number Theory: Lattices, Number Fields, Curves And Cryptography; Author: Buhler, J. P.; Joint Author: Stevenhagen, P.; Hardcover

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Algorithmic Number Theory: Lattices, Number Fields, Curves And Cryptography

Author: Buhler, J. P.; Joint Author: Stevenhagen, P.
Series#:44; Mathematical Sciences Research Institute Publications; Hardcover
Cambridge University Press
ISBN: 0521808545

This text provides a comprehensive introduction to algorithmic number theory for beginning graduate students, written by the leading experts in the field. It includes articles that cover the essential topics in this area, such as the fundamental algorithms of elementary number theory, lattice basis reduction, elliptic curves, algebraic number fields, and methods for factoring and primality proving. In addition, there are contributions pointing in broader directions, including cryptography, computational class field theory, zeta functions and L-series, discrete logarithm algorithms, and quantum computing.

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