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This book constitutes the refereed proceedings of the Third International Symposium on Algorithmic Number Theory, ANTS-III, held in Portland, Oregon, USA, in June 1998. The volume presents 46 revised full papers together with two invited surveys. The papers are organized in chapters on gcd algorithms, primality, factoring, sieving, analytic number theory, cryptography, linear algebra and lattices, series and sums, algebraic number fields, class groups and fields, curves, and function fields.

Number theory --- Algebra --- Mathematics --- Physical Sciences & Mathematics --- Computer science. --- Data encryption (Computer science). --- Computers. --- Algorithms. --- Computer science --- Number theory. --- Computer Science. --- Theory of Computation. --- Number Theory. --- Symbolic and Algebraic Manipulation. --- Algorithm Analysis and Problem Complexity. --- Data Encryption. --- Mathematics. --- Congresses --- Information theory. --- Computer software. --- Cryptology. --- Data processing. --- Number study --- Numbers, Theory of --- Algorism --- Arithmetic --- Data encoding (Computer science) --- Encryption of data (Computer science) --- Computer security --- Cryptography --- Software, Computer --- Computer systems --- Communication theory --- Communication --- Cybernetics --- Foundations --- Computer science—Mathematics. --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Machine theory --- Calculators --- Cyberspace

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Mathematics