Skip to main content
SpringerLink
Log in

Gleichverteilung und das Konvergenzverhalten von Potenzreihen am Rande des Konvergenzkreises

  • Published:
manuscripta mathematica Aims and scope Submit manuscript

Abstract

Some methods of the theory of uniform distribution are applied to investigate the convergence behaviour of the binomial and hypergeometric series on the boundary of their convergence circle. Some generalizations are discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Literatur

  1. K.Knopp, Theorie und Anwendung der unendlichen Reihen, Grundlehren der Math.Wiss., Springer Verlag, Berlin-Göttingen-Heidelberg-New York,1964

    Google Scholar 

  2. K.Knopp, Funktionentheorie II, Sammlung Göschen, Bd. 703,Walter de Gruyter Verlag, Berlin,1949

    Google Scholar 

  3. E.Hlawka, Theorie der Gleichverteilung B.I., Mannheim-Wien-Zürich, 1979

  4. L. Kuipers - H.Niederreiter, Uniform distribution of sequences, John Wiley and Sons, New York, 1974

    Google Scholar 

  5. G.H.Hardy, A theorem concerning Taylor's Series, Quarterly Journ.44 (1913), 147–160

    Google Scholar 

  6. G.H.Hardy, Collected papers, IV, Oxford, At the

  7. J.E. Maxfield, Math. Magacine43 (1970), 64–67

    Google Scholar 

  8. G. Polya - G. Szegö, Aufgaben und Lehrsätze der Analysis I, Grundlehren-der Math. Wiss., Band 19 Springer Verlag, Berlin-Göttingen-Heidelberg-New York, 1964

    Google Scholar 

  9. J.H.B. Kemperman, On the distribution of a sequence in a compact group,Compositio Math.16, (1964),138–157

    Google Scholar 

  10. G.H.Hardy, Divergent series, Oxford Univ. Press, London 1949

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Abt. f. Techn.Math., Techn.Univ.Wien, Gußhausstraße 27-29, A-1040, Wien, Österreich

    Edmund Hlawka

Authors
  1. Edmund Hlawka
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Herrn Doz.Dr.R.F.Tichy (Wien)danke ich herzlich für die Durchsicht und Kritik des Manuskripts.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hlawka, E. Gleichverteilung und das Konvergenzverhalten von Potenzreihen am Rande des Konvergenzkreises. Manuscripta Math 44, 231–263 (1983). https://doi.org/10.1007/BF01166082

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01166082

Search

Navigation