Title: Analytic twists of GL(3)xGL(2) automorphic forms

Abstract: We show that the coefficients of GL(3)xGL(2) Rankin--Selberg L-functions do not correlate with a class of exponential functions with oscillatory phase. We will give two applications of our result, including a subconvex bound for GL(3)xGL(2) L-functions in the t-aspect which improves on an estimate of Munshi, and under the Ramanujan conjecture a convexity-breaking estimate for sums of GL(3)xGL(2) Fourier coefficients improving upon a result of Friedlander--Iwaniec. This is joint work with Qingfeng Sun.

报告人：林永晓  瑞士EPFL

时间：2019年1月3日10:00-11:00

地点：中心校区明德楼C座702报告厅

邀请人：黄炳荣