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Continued fractions and number-theoretic computations. (English) Zbl 0594.12003
This mostly expository paper shows how to use certain continued fraction algorithms to carry out various calculations in the theory of real quadratic and complex cubic fields. Topics covered include reduced ideals and lattices, testing whether or not an ideal is principal, and factorization of integers.
Reviewer: L.Washington

MSC:
11R11 Quadratic extensions
11R16 Cubic and quartic extensions
11A55 Continued fractions
12-04 Software, source code, etc. for problems pertaining to field theory
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