题目：An introduction to Rankin--Selberg L-function and its applications

主讲人：王世纶 （帕多瓦大学）

摘要：Rankin and Selberg introduced a new tool into the study of cusp forms independently at around the same time, which is known today as the Rankin--Selberg method. In 1985, Waldspurger got an important formula of the Rankin--Selberg L function. After that, Yuan, Zhang, Zhang generalized the Waldspurger’s formula, and get a similar formula on Shimura curves. Later, Cai, Shu, Tian established the most general explicit version of the Waldspurger formula. In this talk, I will give an overall introduction to the Rankin--Selberg L function. Also I start with an elliptic curve which is associated with the cube sum problem and give some arithmetic applications of the explicit Waldspurger formula.

时间：2020年10月06日，14:00-15:00

地点：中心校区明德楼 C702