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Lecture on "Application of a Delta Method towards Analytic Twists of Modular Forms"
DateandTime: 2019-08-24 17:34:02


Speaker:Yongxiao Lin,École Polytechnique Fédérale de Lausanne,Switzerland

Date:August 30, 2019

Time: 10:00-11:00 am

Location:Hall 1044, Block B, Zhixin Building, Central Campus

Sponsor:the School of Mathematics


In a preprint jointly by Aggarwal, Holowinsky, the speaker and Sun, we were able to use a‘trivial’delta symbol method to obtain non-correlation of modular forms against Dirichlet character of large modulus. Such a result is of arithmetic nature. In this talk we will explain, when one comes to analytic aspect, how a simple delta method can be introduced to obtain non-correlation of modular forms against exponential factors of certain oscillatory phase. We will present several particular cases of our main result, including a Weyl-type subconvexity bound for modular form L-functions in the t-aspect. This is joint work with Aggarwal, Holowinsky and Qi.

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Edited by:Liu Li

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