Person: Vinogradov, Ivan Matveevich
Vinogradov used trigonometric series to attack deep problems in analytic number theory.
Mathematical Profile (Excerpt):
- Two of his teachers there, A A Markov and Ya V Uspenskii, both had interests in probability and number theory and Vinogradov's interest in number theory stems from this period.
- Mainly these concerned the lack of communication between Russia and the West so that he was unaware of results of Weyl and others which was highly relevant to his work and, similarly, mathematicians in the West were largely unaware of Vinogradov's results.
- During his time as head of the Steklov Institute, Vinogradov discussed with Luzin the research areas which should be emphasised in the Soviet mathematical Institutes.
- Let us now look a little at the main mathematical contributions made by Vinogradov.
- However it was Vinogradov who, in a series of papers in the 1930s, brought the method to its full potential.
- In it Vinogradov proved that every sufficiently large odd integer can be expressed as the sum of three primes.
- Recent research on the type of problems studied by Vinogradov shows that his methods are still the most powerful available to obtain yet further results.
- Even in Edmund Landau's three volume work on number theory, published in 1927, prominence is given to Vinogradov's methods.
- Vinogradov headed the Soviet delegation again at the 5th General Assembly at Dubna in 1966.
- Vinogradov gave a dinner for the participants at his own expense and personally addressed the invitation cards.
- The proceeding of the conference were published in 1973 with Vinogradov as editor-in-chief.
- Vinogradov received many honours for his mathematical achievements.
- One hundred years after his birth, on 14 September, a conference on analytic number theory was organised, followed by 'Vinogradov lectures'.
Born 14 September 1891, Milolyub, Velikie Luki, Pskov province, Russia. Died 20 March 1983, Moscow, Russia.
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Adapted from other CC BY-SA 4.0 Sources:
- O’Connor, John J; Robertson, Edmund F: MacTutor History of Mathematics Archive