Displaying similar documents to “A note on the pseudorandomness of the Liouville function”

Introduction to Liouville Numbers

Adam Grabowski, Artur Korniłowicz (2017)

Formalized Mathematics

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The article defines Liouville numbers, originally introduced by Joseph Liouville in 1844 [17] as an example of an object which can be approximated “quite closely” by a sequence of rational numbers. A real number x is a Liouville number iff for every positive integer n, there exist integers p and q such that q > 1 and [...] It is easy to show that all Liouville numbers are irrational. Liouville constant, which is also defined formally, is the first transcendental (not algebraic) number....

On characterizing the Pólya distribution

Héctor M. Ramos, David Almorza, Juan A. García–Ramos (2010)

ESAIM: Probability and Statistics

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In this paper two characterizations of the Pólya distribution are obtained when its contagion parameter is negative. One of them is based on mixtures and the other one is obtained by characterizing a subfamily of the discrete Pearson system.