Some computational aspects of, and the use of computers in, algebraic number theory

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1971 English Publisher:Springer Science and Business Media LLCJournal:Computing, volume 8, pages 363-381 (issn: 0010-485X, eissn: 1436-5057,

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Authors: Horst G. Zimmer;

doi: 10.1007/bf02234117

Some computational aspects of, and the use of computers in, algebraic number theory

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Abstract

We discuss here some basic problems of algebraic number theory under a computational point of view. In particular, an explanation is given of how the application of a computer has contributed to the progress of research in this area. Several number-theoretic questions are expounded for which the use of a computer seems to be appropriate but has (apparently) not extensively been made.

Related Organizations

Karlsruhe Institute of Technology
Germany

Keywords

Quadratic extensions, Algebraic number theory: global fields, Elliptic curves over global fields, Class numbers, class groups, discriminants, Algebraic number theory computations

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