一、报告题目

Around the ternary Goldbach problem

二、报告人

邵煊程（University of Kentucky ）

三、报告时间

2019年5月6日（星期一） 16:00-17:00

四、报告地点

知新楼B座1044报告厅

五、报告摘要

One of the main themes in analytic number theory is to understand the distribution of primes, many of which are still open. For example, the Hardy-Littlewood conjecture predicts the number of solutions to a given linear system of equations in prime variables. Some of its special cases are the twin prime conjecture and the Goldbach conjecture.

In the past century, analytic number theorists have developed tools and made some progress towards them. For example, Vinogradov in 1937 proved the ternary version of the Goldbach conjecture, that every large odd integer can be written as a sum of three primes. In this talk, I will start with a historical account on known results and the underlying methods, and then describe a few new results related to the ternary Goldbach problem, whose proofs combine classical methods with new ideas from additive combinatorics.

This is based on joint work with Kaisa Matomaki and James Maynard.

六、邀请人

赵立璐教授