题目：The largest prime factors of consecutive integers

摘要： Let $P^+(n)$ denote the largest prime factor of the integer $n$. One might guess that the density of integers $n$ with $P^+(n)<P^+(n+1)$ is $1/2$.

In fact, this conjecture was formulated in the correspondence of Erdős and Turán in the 1930s.

More generally, we may consider this type of problem for $k-$consecutive integers with $k\geq 3$, or impose some conditions on the integer $n$.

In this talk, we present the progress towards these questions.

报告人： 王志伟 (Université de Lorraine)

报告时间： 2018. 9. 27 (周四)，下午15:10-16:10

报告地点： 知新楼B819