## Computers in MathematicsTalks from the International Conference on Computers and Mathematics held July 29-Aug. 1, 1986, Stanford U. Some are focused on the past and future roles of computers as a research tool in such areas as number theory, analysis, special functions, combinatorics, algebraic geometry, topology, physics, |

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### Contents

Keynote Remarks at the Conference on Computers | 1 |

SCRATCHPAD Explorations for Elliptic Theta Functions | 17 |

George E Andrews and R J Baxter | 33 |

Copyright | |

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### Common terms and phrases

accessory parameters algebraic functions algorithm analytic continuation applications approximation arbitrary arithmetic asymptotically bound Buchberger coefficients Comp computer algebra systems conference conjecture continued fraction convergence determined elliptic curves evaluation example finite fields formula Fuchsian group G.V. Chudnovsky Galois geometry initial conditions input integral irreducible iterative Kaltofen lattice lemmas Lenstra linear differential equations Math mathematicians mathematics matrix method monodromy group multiplication multivariate needed number theory oonjeoture Pade parallel Picture y axis Plot Shows Complex polynomial factorization Polynomial The Degree polynomial-time power series power series expansions precision prime Proc proof prove quadratic quadratic residue random polynomial rational function rational numbers reduced regular homotopy representation Riemann surfaces root finding SCRATCHPAD Selberg's sequence Shows Complex Zeros singularities sparse sphere straight-line program symbolic theorem tion tube uniformization problem University variables vector Whole Root Picture