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The Classical Hilbertian Fields

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Part of the book series: Ergebnisse der Mathematik und ihrer Grenzgebiete ((MATHE3,volume 11))

Abstract

Global fields and functions fields of several variables over infinite fields have been known to be Hilbertian for half a century. We call these fields the classical Hilbertian fields.

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References

  1. M. Eichler, Zum Hilbertschen Irreduzibilitiitssatz, Mathematische Annalen 116 (1939), 743–748

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  2. M. Fried, On Hilbert’s irreducibility theorem, Journal of Number Theory 6 (1974), 211–231

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  3. E. Inaba, Ober den Hilbertschen Irreduzibilitätssatz, Japanese Journal of Mathematics 19 (1944), 1–25

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  4. W. Franz, Untersuchungen zum Hilbertschen Irreduzibilitätssatz, Mathematische Zeit-schrift 33 (1931), 275–293

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© 1986 Springer-Verlag Berlin Heidelberg

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Fried, M.D., Jarden, M. (1986). The Classical Hilbertian Fields. In: Field Arithmetic. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-07216-5_12

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  • DOI: https://doi.org/10.1007/978-3-662-07216-5_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-07218-9

  • Online ISBN: 978-3-662-07216-5

  • eBook Packages: Springer Book Archive

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