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

作者:   時間:2019-12-31   點擊數:

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.

報告人:林永曉  瑞士EPFL

時間:20191310:00-11:00

地點:中心校區明德樓C702報告廳

邀請人:黃炳榮

 

 

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