Computational Number Theory (eBook)

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

Attila Pethoe, Michael Pohst, Hugh C. Williams, Horst G. Zimmer (Herausgeber)

eBook Download: PDF

1991 | 1., Reprint 2011
355 Seiten
De Gruyter (Verlag)
978-3-11-086595-0 (ISBN)

Inhalt

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

Produkt-Details

• Erscheint lt. Verlag: 1.6.2011
• Zusatzinfo: 2 b/w ill., Num. tabs.
• Verlagsort: Berlin/Boston
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Informatik ► Theorie / Studium
• Themenwelt: Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
• Themenwelt: Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
• Themenwelt: Technik
• Schlagworte: Congresses • Data processing • Number Theory
• ISBN-10: 3-11-086595-5 / 3110865955
• ISBN-13: 978-3-11-086595-0 / 9783110865950