Distribution of Complex Algebraic Numbers on the Unit Circle
نویسندگان
چکیده
منابع مشابه
Distribution of Algebraic Numbers
Schur studied limits of the arithmetic means An of zeros for polynomials of degree n with integer coefficients and simple zeros in the closed unit disk. If the leading coefficients are bounded, Schur proved that lim supn→∞ |An| ≤ 1 − √ e/2. We show that An → 0, and estimate the rate of convergence by generalizing the Erdős-Turán theorem on the distribution of zeros. As an application, we show t...
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Schur studied limits of the arithmetic means sn of zeros for polynomials of degree n with integer coefficients and simple zeros in the closed unit disk. If the leading coefficients are bounded, Schur proved that lim supn→∞ |sn| ≤ 1− √ e/2. We show that sn → 0, and estimate the rate of convergence by generalizing the Erdős-Turán theorem on the distribution of zeros. To cite this article: I. E. P...
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ژورنال
عنوان ژورنال: Journal of Mathematical Sciences
سال: 2020
ISSN: 1072-3374,1573-8795
DOI: 10.1007/s10958-020-05064-w