### Set-polynomials and polynomial extension of the Hales-Jewett theorem.

Bergelson, V., Leibman, A. (1999)

Annals of Mathematics. Second Series

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Bergelson, V., Leibman, A. (1999)

Annals of Mathematics. Second Series

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Sibaha, Mohamed Ait, Bouikhalene, Belaid, Elqorachi, Elhoucien (2007)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

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Li, Yongjin, Hua, Liubin (2009)

Banach Journal of Mathematical Analysis [electronic only]

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Jung, Soon-Mo (2010)

Journal of Inequalities and Applications [electronic only]

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Jung, Soon-Mo (2007)

Abstract and Applied Analysis

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Kim, Sung Guen (2000)

Journal of Inequalities and Applications [electronic only]

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Bidkham, M., Mezerji, H.A.Soleiman, Gordji, M.Eshaghi (2010)

Abstract and Applied Analysis

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Jung, Soon-Mo, Min, Seungwook (2009)

Abstract and Applied Analysis

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Jung, Soon-Mo, Rassias, John Michael (2008)

Advances in Difference Equations [electronic only]

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Jung, Soon-Mo (2010)

Journal of Inequalities and Applications [electronic only]

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Zbigniew Jelonek (1993)

Annales Polonici Mathematici

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We describe the set of points over which a dominant polynomial map $f=({f}_{1},...,{f}_{n}):{\u2102}^{n}\to {\u2102}^{n}$ is not a local analytic covering. We show that this set is either empty or it is a uniruled hypersurface of degree bounded by $({\prod}_{i=1}^{n}deg{f}_{i}-\mu \left(f\right))/\left(mi{n}_{i=1,...,n}deg{f}_{i}\right)$.

Jung, Soon-Mo, Lee, Zoon-Hee (2008)

Fixed Point Theory and Applications [electronic only]

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Stef Graillat, Philippe Langlois (2007)

RAIRO - Theoretical Informatics and Applications

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Pseudozeros are useful to describe how perturbations of polynomial coefficients affect its zeros. We compare two types of pseudozero sets: the complex and the real pseudozero sets. These sets differ with respect to the type of perturbations. The first set – complex perturbations of a complex polynomial – has been intensively studied while the second one – real perturbations of a real polynomial – seems to have received little attention. We present a computable formula for the real...