Kooperativer Bibliotheksverbund

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Format: 1 online resource (342p.)

ISBN: 9783110865950

Note: Frontmatter -- , 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

Additional Edition: ISBN 978-3-11-012394-4

Language: English

DOI: 10.1515/9783110865950

URL: https://doi.org/10.1515/9783110865950

URL: https://doi.org/10.1515/9783110865950