Advertisement

Approximation By Algebraic Numbers

Chapter
  • 999 Downloads
Part of the Lecture Notes in Mathematics book series (LNM, volume 785)

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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. K. Mahler (1932). Zur Approximation der Exponentialfunktion und des Logarithmus I. J. reine ang. Math. 166, 118–136.Google Scholar
  2. J.F. Koksma (1939). Über die Mahlersche Klasseneinteilung der transzendenten Zahlen und die Approximation komplexer Zahlen durch algebraische Zahlen. Mh. Math. Physik 48, 176–189.zbMATHMathSciNetGoogle Scholar
  3. E. Wirsing (1961). Approximation mit algebraischen Zahlen beschränkten Grades. J. reine ang. Math. 206, 67–77.zbMATHMathSciNetGoogle Scholar
  4. H. Davenport and W.M. Schmidt (1967). Approximation to real numbers by quadratic irrationals. Acta. Arith. 13, 169–176.zbMATHMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1980

Personalised recommendations