How the roots of a polynomial vary with its coefficients: A local quantitative result

Canadian Mathematical Bulletin

Volumn 42, Issue 1, 1999, Pages 3-12

  Beauzamy, Bernard ^a  

^a Soc de Calcul Math   (France)

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[No Author keywords available]

Indexed keywords

EID: 0039523477     PISSN: 00084395     EISSN: None     Source Type: Journal    
DOI: 10.4153/CMB-1999-001-6     Document Type: Article

References (9)

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3. B. Beauzamy, E. Bombieri, P. Enflo, and H. Montgomery, Products of polynomials in many variables. J. Number Theory (2) 36(1990), 219-245.
4. B. Beauzamy and J. Dégot, Differential Identities. Trans. Amer. Math. Soc. (7) 347(1995), 2607-2619.
5. M. Marden, Geometry of polynomials. Mathematical Surveys, A.M.S., 1966.
6. A. Ostrowski, Recherches sur la méthode de Graeffe. Acta Math. 72, 1940.
7. _, Solutions of equations and systems of equations (Appendix B). Academic Press, New-York, 1960.
8. Bruce Reznick, An inequality for products of polynomials. Proc. Amer. Math. Soc. (4) 117(1993), 1063-1073.
9. J. L. Walsh, On the location of the roots of certain type of polynomials. Trans. Amer. Math. Soc. 12(1922) 163-180.