Abstract:
Suppose we are given a set of real algebraic numbers of arbitrary fixed degree. Consider a family of measures on a given set. The paper presents a method for constructing a sequence of such measures that weakly converges to the Cauchy distribution. To do this, we will use the theory of random polynomials.
Key words and phrases:Random rational number, random algebraic number, Cauchy distribution, random polynomial, root density, Farey sequence.
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