Seminars & Colloquia Calendar
Vinogradov’s theorem on sums of three primes, Part 1
Louis Gaudet giving part 1 of a 2 part talk
Date & time: Wednesday, 15 April 2020 at 9:20AM - 10:20AM
Abstract: One of the best-known open problems in mathematics is the Goldbach conjecture, which asks if every even number can be written as the sum of two primes. The ternary Goldbach problem, now solved, is to show that every odd number is the sum of three primes. The first major result on this problem was gotten by Hardy and Littlewood in 1923, who showed, conditional on GRH, that the conjecture is true for all sufficiently large odd integers. In 1937, I. M. Vinogradov succeeded in proving the same result unconditionally. In the first of these two talks, I will explain the main structure of the proof, where the Hardy-Littlewood circle method plays a central role.