Pethoe / Pohst / Williams Computational Number Theory

Proceedings of the Colloquium on Computational Number Theory held at Kossuth Lajos University, Debrecen (Hungary), September 4-9, 1989
Nachdruck 2011
ISBN: 978-3-11-086595-0
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 355 Seiten, Format (B × H): 155 mm x 230 mm

No detailed description available for "Computational Number Theory".

Autoren/Hrsg.

Pethoe, Attila

Pohst, Michael

Williams, Hugh C.

Zimmer, Horst G.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra
• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Programmierung: Methoden und Allgemeines

Inhaltsverzeichnis

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