Generalizations of the Erdős-Kac Theorem and the Prime Number Theorem

讲座时间 Datetime: 2022年5月9日，星期一，9:00-10:00

地点 Venue: 腾讯会议163930498

报告人 Speaker: 王标 

单位 Affiliation:中国科学院数学与系统科学研究院华罗庚中心  

报告摘要 Abstract:

n this talk, we study the linearly independence between the distribution of the number of prime factors of integers and that of the largest prime factors of integers. Respectively, under a restriction on the largest prime factors of integers, we will refine the Erdős-Kac Theorem and Loyd's recent result on Bergelson and Richter's dynamical generalizations of the Prime Number Theorem. At the end, we will show that the analogue of these results holds with respect to the Erdős-Pomerance Theorem as well. This work is jointed with Zhining Wei, Pan Yan and Shaoyun Yi.