Skip to main content
Log in

Generalizing Turán's main theorems on lower bounds for sums of powers

  • Published:
Acta Mathematica Academiae Scientiarum Hungarica Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

References

  1. E. Makai, The first main theorem of P. Turán,Acta Math. Acad. Sci. Hung.,10 (1959), pp. 405–411.

    Google Scholar 

  2. R. Tijdeman, On van der Poorten's proofs of the main theorems of Turán,On the distribution of values of certain functions, Ch. I, Ph. D. Thesis (Amsterdam, 1969).

  3. R. Tijdeman, On a generalisation of Turán's main theorems, Ch. II Ph. D. Thesis op. cit. (Amsterdam, 1969).

  4. R. Tijdeman, Some theorems on general exponential polynomials, Ch. III Ph. D. Thesis op. cit. (Amsterdam, 1969).

  5. P. Turán,Eine neue Methode in der Analysis und deren Anwendungen (Akadémiai Kiadó, Budapest, 1953).

    Google Scholar 

  6. A. J. Van der Poorten,Simultaneous algebraic approximation of functions, Ph. D. Thesis (The University of NSW, 1968).

  7. A. J. Van der Poorten, Generalisations of Turán's main theorems on lower bounds for sums of powers,Bull. Aust. Math. Soc.,2 (1970), pp. 15–37.

    Google Scholar 

  8. A. J. Van der Poorten, A generalisation of Turán's main theorems to binomials and logarithms,Bull. Aust. Math. Soc.,2 (1970), pp. 183–195.

    Google Scholar 

  9. A. J. Van der Poorten, A new result on the distribution of zeros of classes of exponential polynomials (unpublished manuscript).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

van der Poorten, A.J. Generalizing Turán's main theorems on lower bounds for sums of powers. Acta Mathematica Academiae Scientiarum Hungaricae 24, 93–96 (1973). https://doi.org/10.1007/BF01894615

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01894615

Keywords

Navigation