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Simplest cubic fields

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References

  • [C] H. Cohn,A device for generating fields of even class number, Proc. Amer. Math. Soc.7 (1956), 595–598

    Article  MathSciNet  Google Scholar 

  • [Cu] T.W. Cusick,Lower bounds for regulators, in.: Number Theory Noordwijkerhout, 1983, pp. 63–73, Ed.: H. Jager, LNM Vol. 1068, Springer Verlag, 1984

  • [E] V. Ennola,Cubic fields with exceptional units, Computational Number Theory Debrecen, Hungary 1989, pp. 103–128, Eds.: A. Pethő, M.E. Pohst, H.C. Williams and H.G. Zimmer, Walter deGruyter Verlag, 1991.

  • [L] Y.-Z. Lan,Arithmetic properties of a class of cyclic cubic fields, Sci. China32 (1989), 922–928

    MathSciNet  Google Scholar 

  • [Sh] D. Shanks,The simplest cubic number fields, Math. Comp.28 (1974), 1137–1152

    Article  MathSciNet  Google Scholar 

  • [Wa] L. Washington,Class numbers of the simplest cubic fields, Math. Comp.48 (1987), 371–384

    Article  MathSciNet  Google Scholar 

  • [W] M. Watabe,On certain cubic fields IV, Proc. Japan Acad.59A (1983), 387–389

    MathSciNet  Google Scholar 

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Research supported in part by Grant 1641 from the Hungarian National Foundation for Scientific Research

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Lemmermeyer, F., Pethö, A. Simplest cubic fields. Manuscripta Math 88, 53–58 (1995). https://doi.org/10.1007/BF02567804

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  • DOI: https://doi.org/10.1007/BF02567804

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