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

  • A. J. van der Poorten
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Lower Bound 
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References

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    E. Makai, The first main theorem of P. Turán,Acta Math. Acad. Sci. Hung.,10 (1959), pp. 405–411.Google Scholar
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    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).Google Scholar
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    R. Tijdeman, On a generalisation of Turán's main theorems, Ch. II Ph. D. Thesis op. cit. (Amsterdam, 1969).Google Scholar
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    R. Tijdeman, Some theorems on general exponential polynomials, Ch. III Ph. D. Thesis op. cit. (Amsterdam, 1969).Google Scholar
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    P. Turán,Eine neue Methode in der Analysis und deren Anwendungen (Akadémiai Kiadó, Budapest, 1953).Google Scholar
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    A. J. Van der Poorten,Simultaneous algebraic approximation of functions, Ph. D. Thesis (The University of NSW, 1968).Google Scholar
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    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
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    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
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    A. J. Van der Poorten, A new result on the distribution of zeros of classes of exponential polynomials (unpublished manuscript).Google Scholar

Copyright information

© Akadémiai Kiadö 1973

Authors and Affiliations

  • A. J. van der Poorten
    • 1
  1. 1.The University of New South WalesKensingtonAustralia

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