## Computers in mathematical research: based on the proceedings of a conferenceIn this stimulating volume, mathematicians from a wide range of disciplines explore the many ways in which computers are used in research within their fields, both to explore new topics and prove results. There are contributions on the impact of the computer on research in number theory (including the Riemann Zeta function), cryptography, combinatorics, symbolic manipulation, geometry, group theory, statistics, and applied mathematics. Readers will find up-to-date results and uniquely interesting reviews of current work. |

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### Contents

made by the use of a computer by R F Churchhouse | 15 |

Implementing data security by H J Beker | 31 |

applications by W Lunnon | 57 |

Copyright | |

4 other sections not shown

### Common terms and phrases

admittance algebraic algorithm application approximation blocks boundary value problem calculations coefficients common solution congruences conjecture consider continued fractions convergence database Davenport and Lewis decoupling key defined denominator described designs efficient element example exponential factor factorisation failure probability field finite formula Galois Gauss sum given integral equation isomorphic Joint Test key register lattice Lemma linear extensions logarithms Lucas Test MAC residue Math mathematical Mertens Mertens conjecture method nontrivial solution number of linear Numerical Analysis obtained ONE-WAY FUNCTION p-adic p-adic integers parameters partially ordered set polynomial poset possible primes proof Rabin Test rank 2 mod rational function relations Riemann Hypothesis Riemann Zeta Function set orbits solution of rank solve sound propagation Steiner systems Steiner triple systems structure suppose Table technique Theorem Theory traffic noise Transaction Key UCINA variables vector zeros Zeta Function