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On zeros of certain sums of polynomials

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Abstract

A convex combination of two products with same degree offinitely many finite geometric series with each having even degreedoes not always have all its zeros on the unit circle. However, inthis paper, we show that a polynomial obtained by just adding afinite geometric series multiplied by a large constant to such aconvex combination has all its zeros on the unit circle.

참고문헌 (1)

  1. "paper On zeros of reciprocal polynomials", 61, pp.645~661 (2002)

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