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On the theorem of Rubinstein

2020/03/07 by Radosh Bakich, Bakich, Radosh
Mathematics · #Mathematical functions and polynomials #Meromorphic and Entire Functions #Analytic Number Theory Research

paper · pdf · doi:10.48550/arxiv.2003.03652

Abstract

We study distribution of zeros of a complex polynomial whose coefficients has been modified. We give a new proof of the theorem of Rubinstein, and with similar method we prove a new theorem that is not generalization of the previous theorem, but is more efficient in the most number of cases.

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