Academic Report of School of Mathematical Sciences [2026] No. 021

(Series Report for High-Level University Construction No. 1280)

Title：Moments of quadratic twists of modular L-functions

Speaker：Research Assistant Quanli Shen (Shandong University)

Time：10:00-11:00, Mar. 30, 2026

Location：Room 2331, Huiwen Building

Abstract：In this talk, I will survey the history and method for the moments of quadratic twists of modular L-functions, and then discuss my recent work joint with Yujiao Jiang and Ziyang Tang, where we establish an asymptotic formula with three leading order main terms for the second moment of derivatives of quadratic twists of modular L-functions.

Speaker Profile：Quanli Shen is an Assistant Researcher at the Joint School of Science between Shandong University and the Australian National University. His primary research focus is analytic number theory. He has made a series of advances in areas such as L-functions, and his research findings have been published in academic journals including J. Eur. Math. Soc.and Math. Z.

Faculty and students are welcome to attend!

Invited by: Yingnan Wang

School of Mathematical Sciences

March 25, 2026