Number theoretic and algebraic methods in computer science : proceedings of the International Conference, Moscow, June/July, 1993

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Number theoretic and algebraic methods in computer science : proceedings of the International Conference, Moscow, June/July, 1993

editors, Alf J. van der Poorten, Igor Shparlinski, Horst G. Zimmer

World Scientific, c1995

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Includes bibliographical references

Description and Table of Contents

Description

NTAMCS '93 brought to Moscow researchers from areas of computer science and mathematics that traditionally have been apart, but which use similar number theoretic and algebraic methods. An incomplete list of such areas includes cryptography, coding theory, computational algebra and number theory, and numerical analysis. The papers in this volume emphasise the common principles and the essential unity of the computational and mathematical sciences.

Table of Contents

  • Using multiple-radix arithmetic for computations in finite fields and applications in cryptology, M. Abdelguerfi et al
  • uniformly distributed sequences over p-adic integers, V.S. Anashin
  • algorithms for finite Abelian groups, J. Buchmann and S. Paulus
  • models for parallel computation with real numbers, F. Cucker et al
  • solving diophantine problems on curves via descent on the Jacobian, V. Flynn
  • torsion groups of elliptic curves with integral j-invariant over multiquadratic fields, C. Hollinger and H. Zimmer
  • some equivalence problems in free monoids and in subclasses of the CF-grammars class, B. Melnikov
  • explicit quadratic reciprocity, A.J. Van der Poorten
  • on Farey's sequence and estimation of Franel's sum, K.-I. Sato
  • the magnifying coefficient of directed graphs, J.-P. Tillich. (Part Contents).

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