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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| Format: | Electronic Conference Proceeding eBook |
| Language: | English |
| Published: |
Berlin ; New York :
W. de Gruyter,
1991.
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| Online Access: |
Full text (MFA users only) |
| ISBN: | 9783110865950 3110865955 |
| Local Note: | ProQuest Ebook Central |
Table of Contents:
- 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 ordersApplications 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 / ZassenhausHecke 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 algorithmOn Thue equations associated with certain quartic number fields; KANT
- a tool for computations in algebraic number fields; SIMATH
- a computer algebra system