报 告 题 目：A variant of the prime number theorem

主 讲 人：刘 奎

单 位：青岛大学

时 间：6月17日15:00

腾 讯 ID：302-934-1091

摘 要：

The prime number theorem is a famous and deep result in number theory. In this talk, we will show how to obtain a variant of the prime number theorem by exponential sums. Precisely, we will show that ∑n≤Λ([x/n])=cx+Oε(x^9/19+ε) ,where Λ(n) is the Mangoldt function and c is a positive constant. This is a joint work of Jie Wu and Zhishan Yang.

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，主持国家自然科学基金面上项目、青年项目、数学天元项目各 1 项，在 Advances in Mathematics, Mathematika，Journal of Number Theory 等杂志上发表论文十余篇。