Petersson trace formula over newforms and subconvexity for triple product L-functions in cubic levelMPIM

by Xinchen Miao (Universität Bonn)

Wednesday Nov 5, 2025, 2:30 PM → 3:30 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

Number theory lunch seminar

Subconvexity estimation is one of the most important and challenging problem in the field of analytic number theory and L-functions. In this talk, we will focus on the strong subconvexity bound in the level aspect. I will report on my recent joint work with Dr. H.Zhang which achieves the Weyl-type bound for triple product L-functions in the cubic level case. Our method is a combination of different tools in classical analytic number theory, automorphic forms and representation theory.