Computational Number Theory : Proceedings of the Colloquium on Computational Number Theory Held at Kossuth Lajos University, Debrecen Hungary, September 4-9, 1989
Pethoe, Attila (EDT); Pohst, Michael (EDT); Williams, Hugh C. (EDT); Zimmer, Horst G. (EDT)
ISBN 10: 3110123940 ISBN 13: 9783110123944
Edité par Walter de Gruyter, 1991
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Titre : Computational Number Theory : Proceedings of...
Éditeur : Walter de Gruyter
Date d'édition : 1991
Reliure : Couverture rigide
Etat : New
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Computational Number Theory
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Gebunden. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Devoted to the interaction of modern scientific computation and classical number theory, covering subjects from effective finiteness results to efficient algorithms in elementary, analytical and algebraic number theory, these papers provide a broad review o. N° de réf. du vendeur 4451638
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Computational Number Theory
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De Gruyter, Mercury Learning And Information Jul 1991, 1991
ISBN 10 : 3110123940
ISBN 13 : 9783110123944
Neuf
Couverture rigide
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Buch. Etat : Neu. Neuware -Frontmatter -- 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, ¿. -- 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, ¿. -- 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.Walter de Gruyter GmbH, Genthiner Strasse 13, 10785 Berlin 356 pp. Englisch. N° de réf. du vendeur 9783110123944
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Computational Number Theory : Proceedings of the Colloquium on Computational Number Theory held at Kossuth Lajos University, Debrecen (Hungary), September 4-9, 1989
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Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - Frontmatter -- 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, . -- 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, . -- 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. N° de réf. du vendeur 9783110123944
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Computational Number Theory
Edité par
De Gruyter Jul 1991, 1991
ISBN 10 : 3110123940
ISBN 13 : 9783110123944
Neuf
Couverture rigide
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Frontmatter -- 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, . -- 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, . -- 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. 356 pp. Englisch. N° de réf. du vendeur 9783110123944
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Computational Number Theory: Proceedings of the Colloquium on Computational Number Theory held at Kossuth Lajos University, Debrecen (Hungary), September 4-9, 1989
Edité par
Walter de Gruyter, 1991
ISBN 10 : 3110123940
ISBN 13 : 9783110123944
Neuf
Couverture rigide
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Computational Number Theory Proceedings of the Colloquium on Computational Number Theory Held at Kossuth Lajos University, Debrecen Hungary, September 49, 1989
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HRD. Etat : New. New Book. Delivered from our UK warehouse in 4 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. N° de réf. du vendeur L1-9783110123944
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Computational Number Theory Proceedings of the Colloquium on Computational Number Theory Held at Kossuth Lajos University, Debrecen Hungary, September 49, 1989
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Computational Number Theory: Proceedings of the Colloquium on Computational Number Theory held at Kossuth Lajos University, Debrecen (Hungary), September 4-9, 1989
Edité par
Walter de Gruyter, 1991
ISBN 10 : 3110123940
ISBN 13 : 9783110123944
Neuf
Couverture rigide
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Computational Number Theory
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Hardback. Etat : New. Reprint 2011. The volume is devoted to the interaction of modern scientific computation and classical number theory. The contributions, ranging from effective finiteness results to efficient algorithms in elementary, analytical and algebraic number theory, provide a broad view of the methods and results encountered in the new and rapidly developing area of computational number theory. Topics covered include finite fields, quadratic forms, number fields, modular forms, elliptic curves and diophantine equations. In addition, two new number theoretical software packages, KANT and SIMATH, are described in detail with emphasis on algorithms in algebraic number theory. N° de réf. du vendeur LU-9783110123944
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Computational Number Theory
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Hardback. Etat : New. Reprint 2011. The volume is devoted to the interaction of modern scientific computation and classical number theory. The contributions, ranging from effective finiteness results to efficient algorithms in elementary, analytical and algebraic number theory, provide a broad view of the methods and results encountered in the new and rapidly developing area of computational number theory. Topics covered include finite fields, quadratic forms, number fields, modular forms, elliptic curves and diophantine equations. In addition, two new number theoretical software packages, KANT and SIMATH, are described in detail with emphasis on algorithms in algebraic number theory. N° de réf. du vendeur LU-9783110123944
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