On a problem of Hasse
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- by H. Zassenhaus and J. Liang PDF
- Math. Comp. 23 (1969), 515-519 Request permission
Abstract:
A $p$-adic method to construct explicitly a generating automorphism of the Hubert classfield over $Q(\surd - 47)$ and to perform Tshirnhausen transformations for generating equations of the real subfield is developed.References
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H. Zassenhaus, "On Hensel factorization," J. Number Theory, v. 1, 1969. (To appear.)
N. Tschebotareff, "Die Bestimmung der Dichtigkeit einer Menge von Primidealen, welche zu einer gegebenen Substitutionsklasse gehören," Math. Ann., v. 95, 1925, p. 191.
- H. Hasse, Über den Klassenkörper zum quadratischen Zahlkörper mit der Diskriminante $-47$, Acta Arith. 9 (1964), 419–434 (German). MR 172866, DOI 10.4064/aa-9-4-419-434
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Math. Comp. 23 (1969), 515-519
- MSC: Primary 10.66
- DOI: https://doi.org/10.1090/S0025-5718-1969-0246853-2
- MathSciNet review: 0246853