Saint St. Petersburg State University. Mathematics and Mechanics Faculty, Saint St. Petersburg State University.
He went to Street St. Petersburg University where his supervisor was Vladimir Tartakovski, and later worked at that university and the Steklov Institute. He died in Leningrad. Linnik"s theorem in analytic number theory
The dispersion method (which allowed him to solve the Titchmarsh problem).
The large sieve (which turned out to be extremely influential).
An elementary proof of the Hilbert-Waring theorem. See also Schnirelmann density.
The Linnik ergodic method, see Linnik (1968), which allowed him to study the distribution properties of the representations of integers by integral ternary quadratic forms. Infinitely divisible distributions
Linnik obtained numerous results concerning infinitely divisible distributions.
In particular, he proved the following generalisation of Cramér"s theorem: any divisor of a convolution of Gaussian and Poisson random variables is also a convolution of Gaussian and Poisson.
He has also coauthored the book Linnik & Ostrovskii (1977) on the arithmetics of infinitely divisible distributions. Central limit theorem
Linnik zones (zones of asymptotic normality)
Information-theoretic proof of the central limit theorem.
Russian Academy of Sciences. Academy of Sciences of the Union of the Soviet Socialist Republics. Royal Swedish Academy of Sciences]
He was a member of the Russian Academy of Sciences, as was his father, Vladimir Pavlovich Linnik.