题目：Analogues of Alladi's formula

主讲人：王标（University at Buffalo, SUNY）

摘要：In this talk, we will mainly introduce the analogue of one of Alladi's formulas over with respect to the Dirichlet convolutions involving the Möbius function , which is related to the natural densities of sets of primes by recent work of Dawsey, Sweeting and Woo, and Kural et al. Several examples will be given. For instance, if , then

,

where is the smallest prime divisor of , and is Euler's totient function. This refines one of Hardy's formulas in 1921. At the end, we will give some conjectures on more analogues.

时间：2020年10月15日，10:00-11:00

地点：腾讯会议，会议ID：995 338 269