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On zeros of certain sums of polynomialsOn zeros of certain sums of polynomials
- Other Titles
- On zeros of certain sums of polynomials
- Authors
- 김선홍
- Issue Date
- Nov-2004
- Publisher
- 대한수학회
- Citation
- 대한수학회보, v.41, no.4, pp 641 - 646
- Pages
- 6
- Journal Title
- 대한수학회보
- Volume
- 41
- Number
- 4
- Start Page
- 641
- End Page
- 646
- ISSN
- 1015-8634
2234-3016
- Abstract
- A convex combination of two products with same degree of finitely many finite geometric series with each having even degree does not always have all its zeros on the unit circle. However, in this paper, we show that a polynomial obtained by just adding a finite geometric series multiplied by a large constant to such a convex combination has all its zeros on the unit circle.
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