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
References
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
"MATEMATIKA LIETUVOS MOKSLŲ AKADEMIJOJE". Retrieved 14 April 2018.
J.Kubilius Probabilistic methods in the Theory of Numbers at Google Books
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.
Further reading
"Selected publications of Professor Jonas Kubilius". Vilnius University. March 5, 2001. Retrieved 14 April 2018.
"Biography: Jonas Kubilius". www-history.mcs.st-andrews.ac.uk. Retrieved 14 April 2018.
Undergraduate Texts in Mathematics
Graduate Studies in Mathematics
Hellenica World - Scientific Library
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