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Approximation By Algebraic Numbers

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Diophantine Approximation

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 785))

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Abstract

In the first chapters we studied approximation to real numbers by rationals. We now take up approximation to real numbers by algebraic numbers. This is quite different from the questions e.g. considered in Chapter V on approximation to algebraic numbers by rationals.

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References

  • K. Mahler (1932). Zur Approximation der Exponentialfunktion und des Logarithmus I. J. reine ang. Math. 166, 118–136.

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© 1980 Springer-Verlag Berlin Heidelberg

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(1980). Approximation By Algebraic Numbers. In: Diophantine Approximation. Lecture Notes in Mathematics, vol 785. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-38645-2_8

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  • DOI: https://doi.org/10.1007/978-3-540-38645-2_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09762-4

  • Online ISBN: 978-3-540-38645-2

  • eBook Packages: Springer Book Archive

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