报告人：马蔷 （山东大学）

题目：Exponential sums with the Dirichlet coefficients of Rankin-Selberg L-functions

摘要：In this talk, we shall introduce our recent work concerning cancellation inadditively twisted sums on $\mathrm{GL}(m)\times\mathrm{GL}(m^{\prime})$. We describe a new method to obtain upper bounds for exponential sums with multiplicative coefficients without the Ramanujan conjecture. We verify these hypothesis for (with mild restrictions) the Rankin-Selberg $L$-functions attached to two cuspidal automorphic representations.

时间：2022-11-3015:00-16:00

地点：腾讯会议ID：358 9878 8585