# A note on the number of zeros of polynomials in an annulus

Xiangdong Yang; Caifeng Yi; Jin Tu

Annales Polonici Mathematici (2011)

- Volume: 100, Issue: 1, page 25-31
- ISSN: 0066-2216

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topXiangdong Yang, Caifeng Yi, and Jin Tu. "A note on the number of zeros of polynomials in an annulus." Annales Polonici Mathematici 100.1 (2011): 25-31. <http://eudml.org/doc/280665>.

@article{XiangdongYang2011,

abstract = {Let p(z) be a polynomial of the form
$p(z) = ∑_\{j=0\}^\{n\} a_\{j\}z^\{j\}$, $a_\{j\} ∈ \{-1,1\}$.
We discuss a sufficient condition for the existence of zeros of p(z) in an annulus
z ∈ ℂ: 1 - c < |z| < 1 + c,
where c > 0 is an absolute constant. This condition is a combination of Carleman’s formula and Jensen’s formula, which is a new approach in the study of zeros of polynomials.},

author = {Xiangdong Yang, Caifeng Yi, Jin Tu},

journal = {Annales Polonici Mathematici},

keywords = {number of zeros; polynomial in an annulus},

language = {eng},

number = {1},

pages = {25-31},

title = {A note on the number of zeros of polynomials in an annulus},

url = {http://eudml.org/doc/280665},

volume = {100},

year = {2011},

}

TY - JOUR

AU - Xiangdong Yang

AU - Caifeng Yi

AU - Jin Tu

TI - A note on the number of zeros of polynomials in an annulus

JO - Annales Polonici Mathematici

PY - 2011

VL - 100

IS - 1

SP - 25

EP - 31

AB - Let p(z) be a polynomial of the form
$p(z) = ∑_{j=0}^{n} a_{j}z^{j}$, $a_{j} ∈ {-1,1}$.
We discuss a sufficient condition for the existence of zeros of p(z) in an annulus
z ∈ ℂ: 1 - c < |z| < 1 + c,
where c > 0 is an absolute constant. This condition is a combination of Carleman’s formula and Jensen’s formula, which is a new approach in the study of zeros of polynomials.

LA - eng

KW - number of zeros; polynomial in an annulus

UR - http://eudml.org/doc/280665

ER -

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