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.
• Other title: 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110865950; 9783110637199
• DOI: 10.1515/9783110865950
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: ed. by Attila Pethoe, Horst G. Zimmer, Hugh C. Williams, Michael Pohst.