题目：Asymptotic formula for ideal counting function in short intervals

报告人：杨志善，青岛大学数学与统计学院

时间：2019年11月21号（周四）14:00-15:00

地点：知新楼B座819报告厅

摘要：Let K be a finite abelian extension over $\mathbb{Q}$, $a_K(n)$ is the number of non-zero integral ideals with norm $n$. Since the main term of the sum $\sum\limits_{n\leq x}{a_K(n)}$ nearly contains all the invariants of $K$, it is interesting to study its asymptotic formula. In this topic, By using Motohashi’s method and zero density for Zeta function, we'll give an asymptotic formula for ideal counting function in short intervals.

邀请人：纪广华