# 澳门金沙网址

Cancellation in Additively Twisted Sums on GL(m)

In this talk, we shall introduce our series of work concerning cancellation in additively twisted sums on GL(m). We prove cancellation in these twisted sums for all automorphic L-function on GL(m), uniformly in the twisted parameter. The proof of this series of work relies on the generalized Bourgain-Sarnak-Ziegler criterion, the method of Montgomery and Vaughan, the sieve method, and the theory of automorphic L-functions. This talk is based on joint work with Yujiao Jiang and Zhiwei Wang.