Dyadotropic polynomials. II
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- by Harvey Cohn PDF
- Math. Comp. 33 (1979), 359-367 Request permission
Abstract:
A computer search is made to test whether independent units of dyadotropic biquadratic fields (constructed parametrically) are always fundamental. A few exceptions are found. Because of the exponential rate of growth of parameters, p-adic methods are desirable. The feasibility of dyadotropic normed polynomials is also considered for general cases of degree 2 and special cases of degree 6.References
- Harvey Cohn, Dyadotropic polynomials, Math. Comp. 30 (1976), no. 136, 854–862. MR 412146, DOI 10.1090/S0025-5718-1976-0412146-7
- Harvey Cohn, Note on dyadotropic cubics, J. Pure Appl. Algebra 13 (1978), no. 1, 37–40. MR 508728, DOI 10.1016/0022-4049(78)90040-3
- M. Pohst, Berechnung unabhängiger Einheiten und Klassenzahlen in total reellen biquadratischen Zahlkörpern, Computing 14 (1975), no. 1-2, 67–78. MR 404208, DOI 10.1007/BF02242307
Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Math. Comp. 33 (1979), 359-367
- MSC: Primary 12A45; Secondary 12A30
- DOI: https://doi.org/10.1090/S0025-5718-1979-0514832-X
- MathSciNet review: 514832