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报告人:

齐治 (浙江大学)

题   目:

Asymptotic for the Cubic Moment of Maass Form L-Functions

摘   要:

In this talk, I will talk about the cubic moment of central L-values for Maass forms. It was studied by Aleksandar Ivić at the beginning of this century, obtaining asymptotic on the long interval [0, T] with error term $O(T^{8/7+\epsilon})$ and Lindelöf-on-average bound on the short window [T-M, T+M] for M as small as $T^{\epsilon}$. Ivić's results are improved in my recent work; in particular, Ivić's conjectured error term $O (T^{1+\epsilon})$ is proven. Our proof follows the standard Kuznetsov--Voronoi approach stemed from the work of Conrey and Iwaniec. Our main new idea is a combination of the methods of Xiaoqing Li and Young.


时   间:

2022-03-09

地   点:

腾讯会议,ID:358 9878 8585