Polynomials with complex coefficients: size of the factors, repartition of the zeros

DOI10.1080/00036819108840024zbMath0754.65044OpenAlexW2088331465MaRDI QIDQ3979942

Bernard Beauzamy

Publication date: 26 June 1992

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819108840024

zbMATH Keywords

zeros of polynomialslower boundscomplex coefficientssize of coefficientsrepartition functionsize of the factors of a polynomial

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Numerical computation of solutions to single equations (65H05) Computational methods for problems pertaining to field theory (12-08)

Related Items (1)

Each univariate complex polynomial has a ‘big’ factor

Cites Work

• Products of polynomials and a priori estimates for coefficients in polynomial decompositions: A sharp result
• On the distribution of roots of polynomials
• Sequences of analytic functions and their zeros

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