Nikolai Chudakov

Nikolai Grigoryevich Tschudakow (Russian Николай Григорьевич Чудаков, English transliteration Nikolai Grigor'evich Chudakov, formerly written in Germany also Tschudakoff; born December 14, 1904 in Lyssowsk region Novye Burassy in the government of Saratov, † November 22, 1986 in Saratov ) was a Russian mathematician who worked on number theory.

Tschudakow studied at the University of Saratov and to the Lomonosov University in Moscow, where in 1927 he graduated. He stayed until 1930 at Moscow University and then became a professor in Saratov. In 1936 he received his PhD (Russian Ph.D., corresponds to the west of a Habilitation ) at the Steklov Institute. Thereafter he remained until 1940 in Moscow and was then Professor of Number Theory and Algebra ( a newly created Chair ) in Saratov, where he remained until his death. An exception is the period from 1962 to 1972, where he studied at the invitation of Yuri Linnik at the Mathematical Institute of the Academy of Sciences in Leningrad.

From Tschudakow produced some important results of analytic number theory, in which he applied the then new methods of Vinogradov. He tightened a set of Guido Hoheisel on asymptotic distances between adjacent primes. In 1947, he was regardless of Linnik a proof of the theorem of Vinogradov in the environment of the Goldbach conjecture, namely the representability every sufficiently large odd natural number as a sum of three odd primes. He gave evidence in his book Introduction to the theory of Dirichlet L- functions of 1947. He was also improved with methods Vinogradov's estimates for the Riemann zeta function in the critical strip (real part between 0 and 1 ) and used this for improvement of the estimate of the remainder term in the prime number theorem.

In 1970 he was invited speaker at the International Congress of Mathematicians in Nice ( lecture On the generalized characters. Effective methods in the theory of quadratic fields ).