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Mathematics of Computation

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On a problem of Hasse


Authors: H. Zassenhaus and J. Liang
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
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Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

  • [1] H. Zassenhaus, "On Hensel factorization," J. Number Theory, v. 1, 1969. (To appear.)
  • [2] N. Tschebotareff, "Die Bestimmung der Dichtigkeit einer Menge von Primidealen, welche zu einer gegebenen Substitutionsklasse gehören," Math. Ann., v. 95, 1925, p. 191.
  • [3] H. Hasse, Über den Klassenkörper zum quadratischen Zahlkörper mit der Diskriminante -47, Acta Arith. 9 (1964), 419–434 (German). MR 0172866, https://doi.org/10.4064/aa-9-4-419-434

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DOI: https://doi.org/10.1090/S0025-5718-1969-0246853-2
Article copyright: © Copyright 1969 American Mathematical Society

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