
Computational Number Theory
Proceedings of the Colloquium on Computational Number Theory held at Kossuth Lajos University, Debrecen (Hungary), September 4-9, 1989
De Gruyter (Publisher)
1st Edition
Published on 1. July 1991
Book
Hardback
XIII, 342 pages
978-3-11-012394-4 (ISBN)
Description
No detailed description available for "Computational Number Theory".
More details
Edition
Reprint 2011
Language
English
Place of publication
Berlin/Boston
Germany
Target group
Professional and scholarly
US School Grade: College Graduate Student
Illustrations
Num. tabs., 2 s/w Abbildungen
2 b/w ill.Num. tabs.
Dimensions
Height: 236 mm
Width: 160 mm
Thickness: 31 mm
Weight
749 gr
ISBN-13
978-3-11-012394-4 (9783110123944)
Schweitzer Classification
Other editions
Additional editions

Attila Pethoe | Michael Pohst | Hugh C. Williams
Computational Number Theory
Proceedings of the Colloquium on Computational Number Theory held at Kossuth Lajos University, Debrecen (Hungary), September 4-9, 1989
E-Book
06/2011
1st Edition
De Gruyter
€109.95
Available for download

Attila Pethoe | Michael Pohst | Hugh C. Williams
Computational Number Theory
Proceedings of the Colloquium on Computational Number Theory held at Kossuth Lajos University, Debrecen (Hungary), September 4-9, 1989
Book
01/1991
1st Edition
De Gruyter
€169.95
Article exhausted; check different version
Content
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/Pethoe 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