Abstract
We are interested in the zeros of polynomials with restricted coefficients. A typical restriction is that the first coefficient dominates the other coefficients— as is the case in <Emphasis FontCategory=“NonProportional”>Fn</Emphasis>, <Emphasis FontCategory=“NonProportional”>Ln</Emphasis>, and <Emphasis FontCategory=“NonProportional”>An</Emphasis>. However, none of the results of this section are about polynomials with integer coefficients specifically.
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Selected References
P. Borwein and T. Erdélyi, On the zeros of polynomials with restricted coefficients, Illinois J. Math. 41 (1997), 667–675.
P. Borwein, T. Erdélyi, and G. Kós, Littlewood-type problems on [0, 1], Proc. London Math. Soc. (3) 79 (1999), 22–46.
P. Erdős and P. Turán, On the distribution of roots of polynomials, Ann. of Math. (2) 51 (1950), 105–119.
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© 2002 Springer-Verlag New York, Inc.
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Borwein, P. (2002). Location of Zeros. In: Computational Excursions in Analysis and Number Theory. CMS Books in Mathematics / Ouvrages de mathématiques de la SMC. Springer, New York, NY. https://doi.org/10.1007/978-0-387-21652-2_7
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DOI: https://doi.org/10.1007/978-0-387-21652-2_7
Publisher Name: Springer, New York, NY
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