Algorithmic Number Theory: Lattices, Number Fields, Curves and Cryptography by P. Stevenhagen, J.P. Buhler (Paperback, 2011)

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Solving Pell's equation Hendrik Lenstra; 2. Basic algorithms in number theory Joe Buhler and Stan Wagon; 3. Elliptic curves Bjorn Poonen; 4. Fast multiplication and applications Dan Bernstein; 6. Primality testing Rene Schoof; 7.