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(x9/19+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。