2005-2: Primality Testing and Gaussian Sums</b>

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2005-2: Primality testing and Gaussian Sums
by Ciaran Mac an Bhaird.

ISBN: 0-9544269-3-2
Publication date: 31 March, 2005.
Paperback. iv plus 120 pp. 295x210mm.
Retail Price: Euro 19.99. BUY NOW!

This monograph is an introduction to the background mathematics involved in determining whether a given number is prime or composite. The first few chapters deal with basic probabilistic primality tests using modular arithmetic. The author then develops the theory of quadratic and cubic residue symbols and the associated recoprocity laws. These topics are investigated thoroughly using Gauss and Jacobi sums, as well as Eisenstein integers and multiplicative characters. The final chapter gives a brief description of the deterministic APR (Adleman, Pommerance and Rumely) primality test.

The book, based on the author's Masters thesis, is suitable for advanced undergraduate or postgraduate student use. It should be useful to students with an interest in number theory, Gauss sums, or primality testing in general.

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