On the location of the zeros of the derivative of a polynomial
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- by J. Brian Conrey and Lee A. Rubel PDF
- Proc. Amer. Math. Soc. 86 (1982), 37-41 Request permission
Erratum: Proc. Amer. Math. Soc. 104 (1988), 1002.
Abstract:
We show that nonreal zeros of a real polynomial $P(z)$ sometimes induce nonreal zeros of $P’(z)$.References
- B. Conrey, Zeros of derivatives of Riemann’s $xi$-function on the critical line, J. Number Theory (to appear).
- 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 H. S. Wilf, Mathematics for the physical sciences, Wiley, New York, 1962.
Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 86 (1982), 37-41
- MSC: Primary 30C15
- DOI: https://doi.org/10.1090/S0002-9939-1982-0663862-8
- MathSciNet review: 663862