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Abstract

Let Q denote the rational number field and α be an algebraic number of degree s. Then the algebraic number field F s = Q(α) is the field given by the polynomials in α of degree < s with rational coefficients.

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Notes

  • Theorem 1.4: Cf. K. Bamaehandra, [1]. The other results: Gf. Hua Loo Keng and Wang Yuan [1, 4, 5, 6, 7, 8] and Hua Loo

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  • Keng, Wang Yuan and Pei Ding Yi [1].

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© 1981 Springer-Verlag Berlin Heidelberg and Science Press. Beijing

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Keng, H.L., Yuan, W. (1981). Algebraic Number Fields and Rational Approximation. In: Applications of Number Theory to Numerical Analysis. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-67829-5_1

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  • DOI: https://doi.org/10.1007/978-3-642-67829-5_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-67831-8

  • Online ISBN: 978-3-642-67829-5

  • eBook Packages: Springer Book Archive

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