Computational number theory : proceedings of the Colloquium on Computational Number Theory held at Kossuth Lajos University, Debrecen (Hungary), September 4-9, 1989 / editors, Attila Pethö ... [et al.].

Format:

Book

Conference/Event

Author/Creator:

Colloquium on Computational Number Theory, Corporate Author.

Contributor:

Pethö, Attila, 1950-

Conference Name:

Colloquium on Computational Number Theory (1989 : Kossuth Lajos University)

Colloquium on Computational Number Theory

Language:

English

Subjects (All):

Number theory--Data processing--Congresses.

Number theory.

Physical Description:

1 online resource (356 p.)

Edition:

Reprint 2011

Place of Publication:

Berlin ; New York : W. de Gruyter, 1991.

Language Note:

English

Summary:

No detailed description available for "Computational Number Theory".

Contents:

Front matter

Preface

List of contributors

Table of contents

On the construction of primitive elements and primitive normal bases in a finite field / Stepanov, S.A. / Shparlinskiy, I.E.

A numerical method for the determination of the cyclotomic polynomial coefficients / Grytczuk, A. / Tropak, B.

Number systems / Kovács, Β.

Fast converging series representations of real numbers and their implementations in digital processing / Melnichuk, Yu. V.

On a polynomial transformation and its application to the construction of a public key cryptosystem / Pethö, A.

Number-theoretic transforms and a theorem of Sylvester - Kronecker - Zsigmondy / Tasche, M. / Steidl, G. / Creutzburg, R.

A probabilistic class group and regulator algorithm and its implementation / Buchmann, J. / Düllmann, S.

Prime-producing quadratic polynomials and class numbers of quadratic orders / Halter-Koch, F.

Applications of a new class number two criterion for real quadratic fields / Mollin, R.A.

On a solution of a class number two problem for a family of real quadratic fields / Mollin, R.A. / Williams, H.C.

Cubic number fields with exceptional units / Ennola, V.

Enumeration of totally complex quartic fields of small discriminant / Ford, D.

Class number computation by cyclotomic or elliptic units / Nakamula, K.

Computing fundamental units from independent units / Arenz, B.

A note on index divisors / Pohst, M.

Computation of independent units in number fields by a combination of the methods of Buchmann/Pethö and Pohst / Zassenhaus / Schröter, U.

Hecke actions on classes of ternary quadratic forms / Birch, B.J.

Computation of singular moduli by multi-valued modular equations / Cohn, Harvey

Congruent numbers and elliptic curves / Serf, P.

The rank of elliptic curves upon quadratic extension / Schneiders, U. / Zimmer, H. G.

On the resolution of some diophantine equations / Gaál, I.

Index form equations in cubic number fields / Schulte, Ν.

On the practical solution of the Thue-Mahler equation / Tzanakis, N. / Weger, B.M.M. de

Some results on Thue equations and Thue-Mahler equations / Evertse, J.H. /

On the solution of the diophantine equation Gn = P(x) with sieve algorithm / Nemes, I.

On Thue equations associated with certain quartic number fields / Stroeker, R.J.

KANT - a tool for computations in algebraic number fields / Graf, J. /

SIMATH - a computer algebra system / Hollinger, C. / Serf, P.

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

9783110865950

3110865955

OCLC:

922944948