The discriminant of a quadratic extension of an algebraic field
Author:
Theresa P. Vaughan
Journal:
Math. Comp. 40 (1983), 685-707
MSC:
Primary 12A50; Secondary 12A25
DOI:
https://doi.org/10.1090/S0025-5718-1983-0689482-6
Corrigendum:
Math. Comp. 43 (1984), 621.
Corrigendum:
Math. Comp. 43 (1984), 621.
MathSciNet review:
689482
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Abstract: Let F be an algebraic field, and K an extension of F of degree 2. We describe a method for computing the relative discriminant D for K over F. We work out the details for the case when F is quadratic and give tables which yield D very easily. We also apply the method to one type of cubic field F, and give tables for it.
- Daniel A. Marcus, Number fields, Universitext, Springer-Verlag, New York-Heidelberg, 1977. MR 0457396
- Daniel Shanks, Dihedral quartic approximations and series for $\pi $, J. Number Theory 14 (1982), no. 3, 397–423. MR 660385, DOI https://doi.org/10.1016/0022-314X%2882%2990075-0
- Theresa P. Vaughan, On computing the discriminant of an algebraic number field, Math. Comp. 45 (1985), no. 172, 569–584. MR 804946, DOI https://doi.org/10.1090/S0025-5718-1985-0804946-1
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Article copyright:
© Copyright 1983
American Mathematical Society
