Perturbation on Polynomials

  •  Ismaila Diouf    
  •  Babacar Diakhate    
  •  Abdoul Watt    


For univariate polynomials with complex coefficients there are many estimates about the roots of polynomials. Moreover, the result corresponding to the ``continuity of the zeroes which respect to the coefficients'' is generally obtained as a corollary of Rouch\'e's theorem and is rarely precise. Here we prove an explicit result for algebraically closed fields with an absolute value, in any characteristic.

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