Kubilius model

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In mathematics, the Kubilius model relies on a clarification and extension of a finite probability space on which the behaviour of additive arithmetic functions can be modeled by sum of independent random variables.[1]

The method was introduced in Jonas Kubilius's monograph Tikimybiniai metodai skaičių teorijoje (published in Lithuanian in 1959)[2] / Probabilistic Methods in the Theory of Numbers (published in English in 1964) .[3]

Eugenijus Manstavičius and Fritz Schweiger wrote about Kubilius's work in 1992, "the most impressive work has been done on the statistical theory of arithmetic functions which almost created a new research area called Probabilistic Number Theory. A monograph (Probabilistic Methods in the Theory of Numbers) devoted to this topic was translated into English in 1964 and became very influential."[4]:xi


  1. ^ Edited by B. Grigelionis, J. Kubilius, H. Pragarauskas and V. Statulevicius Probability Theory and Mathematical Statistics. Proceedings of the Sixth Vilnius Conference(1993), p. 674, at Google Books
  3. ^ J.Kubilius Probabilistic methods in the Theory of Numbers at Google Books
  4. ^ Editors, F. Schweiger and E. Manstavičius. (1992). Manstavičius, Eugenijus; Schweiger, Fritz (eds.). Analytic and probabilistic methods in number theory. New Trends in Probability and Statistics. 2. Utrecht: VSP. ISBN 978-90-6764-094-7. Retrieved 2009-04-17.CS1 maint: extra text: authors list (link)

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