

Globus Seminar
December 4, 2014 15:40, Moscow, IUM (Bolshoi Vlas'evskii per., 11)






The ternary Goldbach conjecture
H. A. Helfgott^{} 
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Abstract:
The ternary Goldbach conjecture (1742) asserts that every odd number
greater than 5 can be written as the sum of three prime numbers.
Following the pioneering work of Hardy and Littlewood, Vinogradov proved (1937)
that every odd number larger than a constant C satisfies the conjecture.
In the years since then, there has been a succession of results reducing C,
but only to levels much too high for a verification by computer up to C
to be possible (C>10^1300). (Works by Ramare and Tao solved the corresponding
problems for six and five prime numbers instead of three.)
My recent work proves the conjecture. We will go over the main ideas of the proof.
Доклад пройдёт в рамках конференции "Zeta Functions 5".

