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On the location of the zeros of the derivative of a polynomial


Authors: J. Brian Conrey and Lee A. Rubel
Journal: Proc. Amer. Math. Soc. 86 (1982), 37-41
MSC: Primary 30C15
DOI: https://doi.org/10.1090/S0002-9939-1982-0663862-8
Erratum: Proc. Amer. Math. Soc. 104 (1988), 1002.
MathSciNet review: 663862
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Abstract: We show that nonreal zeros of a real polynomial $ P(z)$ sometimes induce nonreal zeros of $ P'(z)$.


References [Enhancements On Off] (What's this?)

  • [1] B. Conrey, Zeros of derivatives of Riemann's $ xi$-function on the critical line, J. Number Theory (to appear).
  • [2] Morris Marden, The Geometry of the Zeros of a Polynomial in a Complex Variable, Mathematical Surveys, No. 3, American Mathematical Society, New York, N. Y., 1949. MR 0031114
  • [3] H. S. Wilf, Mathematics for the physical sciences, Wiley, New York, 1962.

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1982-0663862-8
Article copyright: © Copyright 1982 American Mathematical Society