Abstract
We apply the model theory — measure theory technique of Chapter 18 to concrete field arithmetic problems. The transfer principles between properties of finite fields and properties of the fields \(\tilde K\)(σ) often can be accomplished through direct application of the Čebotarev density theorem. Usually, however, application of the transfer theorem avoids a repetition of arguments.
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References
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© 1986 Springer-Verlag Berlin Heidelberg
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Fried, M.D., Jarden, M. (1986). Examples and Applications. In: Field Arithmetic. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-07216-5_19
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DOI: https://doi.org/10.1007/978-3-662-07216-5_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-07218-9
Online ISBN: 978-3-662-07216-5
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