an outline of 148 algorithms primary to number-theoretic computations, specifically for computations relating to algebraic quantity concept, elliptic curves, primality checking out and factoring. the 1st seven chapters advisor readers to the guts of present learn in computational algebraic quantity conception, together with contemporary algorithms for computing category teams and devices, in addition to elliptic curve computations, whereas the final 3 chapters survey factoring and primality trying out equipment, together with an in depth description of the quantity box sieve set of rules. the total is rounded off with an outline of obtainable laptop applications and a few necessary tables, sponsored by way of a variety of workouts. Written by means of an expert within the box, and one with nice useful and instructing adventure, this is often absolute to turn into the traditional and imperative reference at the subject.

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A Course in Computational Algebraic Number Theory-Graduate Texts in mathematics

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