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Metric properties of polynomials

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References

  1. H. Cartan, Sur les systèmes de fonctions holomorphes à variétés linéaires lacunaires et leurs applications.Ann. Sci. Ecole Norm. Sup. (3) 45 (1928), 255-346.

    MathSciNet  Google Scholar 

  2. P. Erdös, Note on some elementary properties of polynomials,Bull. Amer. Math. Soc. 46 (1940), 954–958.

    MATH  MathSciNet  Google Scholar 

  3. P. Erdös et al., Problem No. 103, Wiskundige Opgaven met de Oplossingen, Deel 20 Nr. 3 (1957), 23–24.

    Google Scholar 

  4. M. Fekete, Useber die Verteilung der Wurzeln bei gewissen algebraischen Gleichungen mit ganzzahligen Koeffizienten,Math. Z. 17 (1923), 228–249.

    Article  MathSciNet  Google Scholar 

  5. G. R. MacLane, On a conjecture of Erdös, Herzog, and Piranian,Michigan Math. J. 2 (1953–54), 147–148.

    Article  MathSciNet  Google Scholar 

  6. G. Pólya, Beitrag zur Verallgemeinerung des Verzerrungssatzes auf mehrfach zusammenhängende Gebiete,S-B. Akad. Wiss., Berlin (1928), 228–232 and 280–282.

  7. R. Steinberg, Related absolute values,Amer. Math. Monthly 59 (1952), 420–421.

    Article  MathSciNet  Google Scholar 

  8. G. Szegö, Components of the set |(z-z 1)…(z-z n)|≤1,Amer. Math. Monthly 58 (1951), 639.

    Article  MathSciNet  Google Scholar 

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G. Piranian’s contribution to this paper was made under Office of Ordnance Research Contract DA 20-018-ORD-13585.

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Erdös, P., Herzog, F. & Piranian, G. Metric properties of polynomials. J. Anal. Math. 6, 125–148 (1958). https://doi.org/10.1007/BF02790232

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