一、题目

GL(3) L-functions on the critical line

二、主讲人

Ritabrata Munshi

三、摘要

Traditionally moments of L-functions on the critical line have been used to bound the size of the L-functions on the critical line. For example the Weyl bound for the Riemann Zeta function can be concluded either by obtaining a strong bound for the error term in the second moment or by bounding short fourth moment. The same method works in the case of degree two L-functions, although computing the moment becomes a tricky business. Till recently we had no similar result for degree three (or higher) L-functions. This talk will be about t-aspect sub convexity for degree three L-functions - the delta method approach, its limitations and the recent blending of the moment method and the delta method (a joint work with Aggarwal and Leung).

四、主讲人简介

Ritabrata Munshi is a professor at the Indian Statistical Institute, specialising in number theory. He was elected a fellow of the Indian Academy of Sciences and a fellow of the Indian National Science Academy. He was awarded the Shanti Swarup Bhatnagar Prize for Science and Technology (2015), the ICTP Ramanujan Prize (2018), and the Infosys Prize (2017). In 2018 he was an invited speaker at the International Congress of Mathematicians (ICM). He published papers in Annals of Mathematics, Journal of the American Mathematical Society, Duke Mathematical Journal, etc.

五、邀请人

刘建亚，黄炳荣

六、时间

11月23日（周三）19:00-20:00

七、地点

Zoom meeting

八、联系人

黄炳荣，联系方式：brhuang@sdu.edu.cn

九、主办

山东大学数学学院