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Application of a delta method towards analytic twists of modular forms

作者:   時間:2019-08-23   點擊數:

Yongxiao Lin

Abstract:

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.

Speaker Introduction:

Yongxiao Lin, École Polytechnique Fédérale de Lausanne

Inviter:

Ji Guanghua,associate professor of School of Mathematics

Time:

14:00-15:00 on August 30(Friday)

Location:

Hall 1044, Block B, Zhixin Building, Central Campus

Hosted by: School of Mathematics, Shandong University


地址:中國山東省濟南市山大南路27號   郵編:250100  

電話:0531-88364652   投稿信箱:mathweb@sdu.edu.cn

Copyright@山東大學數學學院

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