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2012

2012

We derive sufficient conditions under which all but two zeros of reciprocal polynomials lie on the unit circle, and specify the… Expand

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2010

2010

The measure of a monic polynomial is the product of the absolute value of the roots which lie outside and on the unit circle. We… Expand

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2007

2007

For integral self-reciprocal polynomials P(z) and Q(z) with all zeros lying on the unit circle, does there exist integral self… Expand

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2005

2005

AbstractThe transformationf(x)↦fQx≔deg(f)f(x + 1/x) for f(x)∈
$$\mathbb{F}_q [x]$$
is studied. Simple criteria are given for the… Expand

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2003

2003

The first author [1] proved that all zeros of the reciprocal polynomial Pm(z) = m ∑ k=0 Akz k (z ∈ C), of degreem ≥ 2 with real… Expand

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2002

2002

The purpose of this paper is to show that all zeros of the reciprocal polynomial Pm(z) = m ∑ k=0 Akz k (z ∈ C) of degree m ≥ 2… Expand

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1996

1996

Abstract A ‘switched’ or ‘multimode’ system is one that can switch between various modes of operation. We consider here switched… Expand

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1991

1991

We investigate a nonstandard output convention for sorting. Specifically, the input elements are to be returned not in an array… Expand

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1989

1989

The reciprocal f (x) of a polynomial f(x) of degree n is defined by f (x) = xf(1/x). A polynomial is called self-reciprocal if it… Expand

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1980

1980

The measure of a monic polynomial is the product of the absolute value of the roots which lie outside and on the unit circle. We… Expand

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