The discriminant of a quadratic extension of an algebraic field
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- by Theresa P. Vaughan PDF
- Math. Comp. 40 (1983), 685-707 Request permission
Corrigendum: Math. Comp. 43 (1984), 621.
Corrigendum: Math. Comp. 43 (1984), 621.
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.References
- 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 10.1016/0022-314X(82)90075-0
- Theresa P. Vaughan, On computing the discriminant of an algebraic number field, Math. Comp. 45 (1985), no. 172, 569–584. MR 804946, DOI 10.1090/S0025-5718-1985-0804946-1
Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Math. Comp. 40 (1983), 685-707
- MSC: Primary 12A50; Secondary 12A25
- DOI: https://doi.org/10.1090/S0025-5718-1983-0689482-6
- MathSciNet review: 689482