Speaker: Ritabrata Munshi, Professor, the Indian Statistical Institute

Date: November 23, 2022

Time: 19:00-20:00

Location: Zoom

Sponsor: School of Mathematics, Shandong University

Abstract:

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).

For more information, please visit:

http://www.math.sdu.edu.cn/info/1020/17996.htm