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A topological bound
on the number of distinct zeros of an analytic function
Robert F. Brown |
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Vol. 118 (1985), No. 1, 53–58
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Abstract |
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An old theorem concerning the number of fixed points of a map on an annulus is used to obtain a lower bound for the number of distinct zeros of an analytic function. When die function is a polynomial, the result furnishes sufficient conditions on the coefficients so that the polynomial has at least a specific number of zeros. |
Mathematical Subject Classification 2000
Primary: 30C15
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Milestones
Received: 3 October 1983
Revised: 15 December 1983
Published: 1 May 1985
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Authors |
| Robert F. Brown | |
| Department of Mathematics University of California,Los Angeles Los Angeles CA 90095-1555 United States |
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| http://www.math.ucla.edu/~rfb/ | |
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