题目：On the probability of random integers satisfying coprimality conditions

报告人：刘奎

摘要：A classical result of Dirichlet indicates that the probability of two random integers are coprime is 6/pi^2≈0.6079. In this talk, we will show how to compute the probability that k-random integers (k>2) satisfy multiple coprimality conditions. We will first state some previous results on this topic and then give a generalization of them. This is a joint work with Wei Niu and Ruixue Zhang.

报告人简介：刘奎，青岛大学副教授，硕士研究生导师，主要研究领域为解析数论和概率数论，主持完成国家自然科学基金项目2项，在研1项，在Advances in Mathematics, Mathematika, Journal of Number Theory等学术期刊发表论文十余篇。

时间：2021年10月30日（周六）上午10:00-11:00

地点：知新楼B座1032报告厅

邀请人：孟宪昌