Computational Number Theory : : Proceedings of the Colloquium on Computational Number Theory held at Kossuth Lajos University, Debrecen (Hungary), September 4-9, 1989 /

Computational Number Theory : : Proceedings of the Colloquium on Computational Number Theory held at Kossuth Lajos University, Debrecen (Hungary), September 4-9, 1989 / / ed. by Attila Pethoe, Horst G. Zimmer, Hugh C. Williams, Michael Pohst.

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999
MitwirkendeR:
Arenz, B.,
Birch, B.J.,
Buchmann, J.,
Cohn, Harvey,
Creutzburg, R.,
Düllmann, S.,
Ennola, V.,
Evertse, J.H.,
Ford, D.,
Gaál, I.,
Graf, J.,
Grytczuk, A.,
Halter-Koch, F.,
Hollinger, C.,
Kovács, Β.,
Melnichuk, Yu. V.,
Mollin, R.A.,
Nakamula, K.,
Nemes, I.,
Pethö, A.,
Pohst, M.,
Schneiders, U.,
Schröter, U.,
Schulte, Ν.,
Serf, P.,
Shparlinskiy, I.E.,
Steidl, G.,
Stepanov, S.A.,
Stroeker, R.J.,
Tasche, M.,
Tropak, B.,
Tzanakis, N.,
Weger, B.M.M. de,
Williams, H.C.,
Zimmer, H. G.,
HerausgeberIn:
Pethoe, Attila,
Pohst, Michael,
Williams, Hugh C.,
Zimmer, Horst G.,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2011]
©1991
Year of Publication:2011
Edition:Reprint 2011
Language:English
Online Access:
Physical Description:1 online resource (342 p.) :; Num. tabs.
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Table of Contents:
  • I-IV
  • Preface
  • List of contributors
  • Table of contents
  • On the construction of primitive elements and primitive normal bases in a finite field
  • A numerical method for the determination of the cyclotomic polynomial coefficients
  • Number systems
  • Fast converging series representations of real numbers and their implementations in digital processing
  • On a polynomial transformation and its application to the construction of a public key cryptosystem
  • Number-theoretic transforms and a theorem of Sylvester - Kronecker - Zsigmondy
  • A probabilistic class group and regulator algorithm and its implementation
  • Prime—producing quadratic polynomials and class numbers of quadratic orders
  • Applications of a new class number two criterion for real quadratic fields
  • On a solution of a class number two problem for a family of real quadratic fields
  • Cubic number fields with exceptional units
  • Enumeration of totally complex quartic fields of small discriminant
  • Class number computation by cyclotomic or elliptic units
  • Computing fundamental units from independent units
  • A note on index divisors
  • Computation of independent units in number fields by a combination of the methods of Buchmann/Pethö and Pohst / Zassenhaus
  • Hecke actions on classes of ternary quadratic forms
  • Computation of singular moduli by multi-valued modular equations
  • Congruent numbers and elliptic curves
  • The rank of elliptic curves upon quadratic extension
  • On the resolution of some diophantine equations
  • Index form equations in cubic number fields
  • On the practical solution of the Thue-Mahler equation
  • Some results on Thue equations and Thue-Mahler equations
  • On the solution of the diophantine equation Gn = P(x) with sieve algorithm
  • On Thue equations associated with certain quartic number fields
  • KANT - a tool for computations in algebraic number fields
  • SIMATH - a computer algebra system

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