Yuri Linnik

Yuri Vladimirovich Linnik (Russian Юрий Владимирович Линник, born January 8, 1915 in Bila Tserkva in Ukraine; † June 30, 1972 in St. Petersburg) was a Russian mathematician who worked on probability theory and analytic number theory.

Life and work

Linnik the son of a teacher - couple was (his father Vladimir Pavlovich Linnik was later himself a member of the Soviet Academy of Sciences, he worked on optics ) began in 1932 and his physics studies in St. Petersburg. But he soon switched to mathematics and made his degree in 1938. 1939/40, he was a platoon leader in the Soviet army, but was in 1940 re-opened, and in 1940 at the University of Leningrad in Vladimir Tartakowski doctorate ( displaying large numbers by positive ternary quadratic forms ), that is, he was awarded candidate status (which is in the west of the habilitation equivalent ). In 1941 he was involved as a volunteer in the battle for the Pulkovo Heights in Leningrad. He made with a part of the siege, but was evacuated to Kazan in 1941. Starting in 1940, he was in the Leningrad branch of the Steklov Institute, where he served after the war as a professor. At the same time, he was from 1944 professor of mathematics at the University of Leningrad.

At first he worked on number theory. In his dissertation he turned methods of ergodic theory ( as in Linniks theorem on the asymptotic distribution of integer points on a sphere of increasing radius ) in their 1941 and led the "big screen " one. In 1950, he led the dispersion method in the additive number theory. He also examined tightness sets for Dirichlet functions. Later, he also turned to the statistics and probability theory. He solved includes The Behrens- Fisher problem in the statistics on the difference between the means of two normally distributed variables ( with different variance). In 1946, he gave a new proof of the theorem of Vinogradov.

In 1947 he was awarded the Stalin Prize in 1970 and the Lenin Prize. In 1953 he became a corresponding member of the Soviet and 1964 full Academy of Sciences. 1959 ( the year of its founding ) to 1965 he was president of the Leningrad Mathematical Society. In 1970 he was invited speaker at the International Congress of Mathematicians in Nice ( Some recent developments in sequential estimation theory ), 1958 in Edinburgh (On divisor problems and some related binary additive problems ) and in Stockholm in 1962 (On similar regions in mathematical statistics ).

His students include Alfred Renyi, the Linniks method of large sieve anwandte, Jonas Kubilius, Ildar Ibragimov Abdulowitsch and Anatoli Andrianov. Linniks screen was expanded by his pupil A. Vinogradov and independently by Enrico Bombieri 1965.

Writings

  • Ildar Ibragimov with: Independent and stationary sequences of random variables. Wolters- Noordhoff Series of Monographs and Textbooks on Pure and Applied Mathematics, 1971.
  • The method of least squares in a modern representation. Berlin 1961.
  • Decomposition of random variables and vectors: with IVOstrowskij. American Mathematical Society, Providence, Rhode Iceland, 1977.
  • Decomposition of probability distributions. New York 1964.
  • The dispersion method in binary additive problems, AMS 1963
  • R. Kagan, SR Rao: Characterisation problems in mathematical statistics. New York, 1973.
  • Statistical problems with nuisance parameters. AMS 1968.
  • Ergodic properties of algebraic fields. New York 1968.
  • Leçons sur les Problèmes de Statistique Analytique. Paris 1967.
  • Alexander Gelfond: Elementary methods in the analytic theory of numbers. Oxford 1966.
Vinogradov's theorem Alfréd Rényi Name Authority File
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