报告人:蒋玉蛟 (山东大学(威海))
题目:Correlations of multiplicative functions
摘要:In this talk, we shall introduce our work concerning correlations of multiplicative functions, in which one comes from automorphic forms on GL(2). The proof relies on the generalized Bourgain-Katai-Sarnak-Ziegler criterion, Linnik’s dispersion method, sieve method, and analytic theory of automorphic L-functions. As applications, some savings are achieved for shifted convolution problems on GL(m)×GL(2) (m≥4) and Hypothesis C of Iwaniec-Luo-Sarnak for the first time. This is a joint work with Guangshi Lü.
时间:2022-05-04 15:00-16:00
地点:腾讯会议ID:358 9878 8585