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On the Problem of Kakeya

Year: 2025
Type: article
Abstract: Let $$p(z)$$ be a complex polynomial of degree $$n$$, having $$k$$ of its zeros in the unit disc. We prove that at least one zero of $$p^{(k-1)}(z)$$ lies in the disc $$|z|\le \frac{2(n-k+1)}{\ln 2} $$.
Language: English
Open Access status: diamond
OpenAlex ID: W4410827329
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