ArticleOriginal scientific text

Title

Lₚ-deviations from zero of polynomials with integral coefficients

Authors 1

Affiliations

  1. Departamento de Matemáticas, Facultad de Ciencias, Universidad del País Vasco, Apartado 644, 48080 Bilbao, Spain

Bibliography

  1. N. I. Achieser, Theory of Approximation, Ungar, New York, 1956.
  2. E. Aparicio Bernardo, On some properties of polynomials with integer coefficients, and on approximation of functions in the mean by polynomials with integer coefficients, Izv. Akad. Nauk SSSR Ser. Mat. 19 (1955), 303-318 (in Russian).
  3. E. Aparicio Bernardo, Método de las formas lineales para la acotación de las desviaciones mínimas a cero de los polinomios generalizados de coeficientes enteros, in: Proc. 1st Conference of Portuguese and Spanish Mathematicians (Lisbon, 1972), Inst. 'Jorge Juan' Mat., Madrid, 1973, 133-143.
  4. E. Aparicio Bernardo, Generalization of a theorem of M. Fekete to polynomials with integer coefficients in several unknowns, Rev. Mat. Hisp.-Amer. (4) 36 (1976), 105-124 (in Spanish).
  5. E. Aparicio Bernardo, Three theorems on approximation in Lₚ by means of polynomials with integer coefficients, Collect. Math. 28 (1977), 217-234 (in Spanish).
  6. M. Fekete, Über die Verteilung der Wurzeln bei gewissen algebraischen Gleichungen mit ganzzahligen Koeffizienten, Math. Z. 17 (1923), 228-249.
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  8. A. O. Gel'fond, On uniform approximation by polynomials with rational integral coefficients, Uspekhi Mat. Nauk (N.S.) 10 (1) (63) (1955), 41-65 (in Russian).
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Pages:
217-228
Main language of publication
English
Received
1993-04-20
Published
1995
Exact and natural sciences