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.

• 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
• Physical Description: 1 online resource (342 p.) :; Num. tabs.

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