Special Session in Analytic Number Theory
Recent Progress on the Tenary Goldbach Conjecture
Professor Tianze WANG
Abstract
The ternary Goldbach conjecture (TGC) states that every odd integer greater than 7 is a sum of three odd primes. Using his method of estimating exponential sums over primes together with the Hardy-Littlewood-Ramanujan circle method, I.M. Vinogradov proved in 1937 that there exists an absolute constant V such that every sufficiently large odd integer greater than V is a sum of three odd primes. So for a complete solution of the TGC one needs to give an explicit value of the above V and to check the TGC for all odd integers lying between 9 and V.
In
this talk, I shall present an effort toward the complete settlement of TGC by
proving that the above V can be taken as 101347.
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Date: |
October 18, 2001 (Thursday) |
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Time: |
2:00 - 3:00pm |
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Place: |
Room 517, Meng Wah Complex |