I.M. Vinogradov
Ivan Matveevich Vinogradov (14 September 1891-20 March 1983) was a Russian mathematician, who was one of the creators of modern analytic number theory, and also the dominant figure in mathematics in the USSR. He was born in the Velikye Luki region, Pskovsk province. He graduated from the University of St. Petersburg, and in 1920 became Professor at Petrograd State University. From 1934 he was Director of the Steklov Institute, a position he held for the rest of his life.
In analytic number theory, Vinogradov's method refers to his main problem-solving technique, applied to central questions involving the estimation of exponential sums. With its help, he tackled questions such as the ternary Goldbach problem, and the zero-free region for the Riemann zeta function. His own use of it was inimitable; in terms of later techniques, it is recognised as a prototype of the large sieve method in its application of bilinear forms, and also as an exploitation of combinatorial structure. In some cases his results resisted improvement for decades.
Referenced By
Sperner's lemma
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