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11R: Algebraic number theory: global fields



Applications and related fields

For complex multiplication, See 11G15

The rings of integers in these fields are also studied in Commutative Ring Theory, where we may find discussion of Unique Factorization Domains (UFDs), Euclidean domains, etc.


Parent field: 11: Number Theory

Browse all (old) classifications for this area at the AMS.

Textbooks, reference works, and tutorials

There are quite a few texts in algebraic number theory. We mention a few with widely varying foci:

Possibly useful survey articles include:

There is also a mailing list "ALGEBRAIC-NUMBER-THEORY"; information is available at the Algebraic Number Theory Preprint Archive

See also the references for number theory in general.

Software and tables

Other web sites with this focus

Selected topics at this site

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Last modified 2000/01/14 by Dave Rusin. Mail: