On the Distribution of Roots of Polynomials

On the Distribution of Roots of Polynomials
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DOI:
10.2307/1969500
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发表时间:
1950
影响因子:
4.9
通讯作者:
P. Erdös;P. Turán
P. Erdös;P. Turán
中科院分区:
数学1区
文献类型:
--
作者:
P. Erdös;P. Turán

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1. 我们首先解释两组定理,并且我们将从共同的来源推导出来。 P. Bloch 和 G. P6lya' 首先研究了对 (1.1) f(z) = UIJ + Olc?T + 的实根数 R 进行上限估计的问题。他们证明了实根的数量是* n log F (1.2)
1. We start by explaining two groups of theorems and we shall derive both from a common source. P. Bloch and G. P6lya' investigated first the question of giving an upper estimation of the number R of real roots of (1.1) f(z) = UIJ + Olc?T +. They proved that the number of real roots is* n log F (1.2)