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
Independent or Independents may refer to:
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* Independents (artist group), a group of modernist painters based in the New Hope, Pennsylvania, area of the United States during the early 1930s
* Independ ...
random variables.
The method was introduced in
Jonas Kubilius's monograph ''Tikimybiniai metodai skaičių teorijoje'' (published in Lithuanian in 1959) / ''Probabilistic Methods in the Theory of Numbers'' (published in English in 1964) .
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."
References
Further reading
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* {{cite web , title=Biography: Jonas Kubilius , url=http://www-history.mcs.st-andrews.ac.uk/Biographies/Kubilius.html , website=www-history.mcs.st-andrews.ac.uk , accessdate=14 April 2018
Number theory