Yuri Vladimirovich Linnik (Russian: Юрий Владимирович Линник; January 8, 1915 – June 30, 1972) was a Soviet mathematician active in number theory, probability theory and mathematical statistics.

Linnik was born in Bila Tserkva, Ukraine. He went to St Petersburg University where his supervisor was Vladimir Tartakovski, and later worked at that university and the Steklov Institute. He was a member of the Russian Academy of Sciences, as was his father, Vladimir Pavlovich Linnik. He was awarded both State and Lenin Prizes. He died in Leningrad.

Work in number theory

* Linnik's theorem in analytic number theory
* The Dispersion method (which allowed him to solve Titchmarsh problem)
* The large sieve (which turned out to be extremely influential)
* an elementary proof of the Hilbert-Waring theorem.

Work in probability theory and statistics

* Linnik zones (zones of asymptotic normality)
* Information-theoretic proof of the central limit theorem
* Behrens–Fisher problem

See also

* Schnirelmann density

References

* I.A.Ibragimov, Yu.V.Linnik, Independent and stationary sequences of random variables, Edited by JFC, Wolters-Noordhoff Series of Monographs and Textbooks on Pure and Applied Mathematics, 1971
* Yu.V.Linnik, Method of Least Squares, Fizmatgiz, Moscow, 1962
* Yu.V.Linnik, I.V.Ostrovskii, Decomposition of random variables and vectors, Translated from the Russian. Translations of Mathematical Monographs, Vol. 48. American Mathematical Society, Providence, R. I., 1977. ix+380 pp.

External links

* Yuri Linnik at the Mathematics Genealogy Project
* O'Connor, John J.; Robertson, Edmund F., "Yuri Linnik", MacTutor History of Mathematics archive, University of St Andrews, http://www-history.mcs.st-andrews.ac.uk/Biographies/Linnik.html .
* Obituary – from Acta Arithmetica
* Acta Arithmetica: Linnik memorial issue (1975)