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Zapiski Nauchnykh Seminarov POMI, 2021, Volume 505, Pages 294–311 (Mi znsl7136)  
Random algebraic numbers

A. S. Tokmachev

Saint Petersburg State University
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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.
Received: 09.11.2021
Document Type: Article
UDC: 519.2
Language: Russian
Citation: A. S. Tokmachev, “Random algebraic numbers”, Probability and statistics. Part 31, Zap. Nauchn. Sem. POMI, 505, POMI, St. Petersburg, 2021, 294–311
Citation in format AMSBIB
\Bibitem{Tok21}
\by A.~S.~Tokmachev
\paper Random algebraic numbers
\inbook Probability and statistics. Part~31
\serial Zap. Nauchn. Sem. POMI
\yr 2021
\vol 505
\pages 294--311
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7136}
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  • https://www.mathnet.ru/eng/znsl/v505/p294
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