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Junxian Li: Non-vanishing of twists of L-functions

Time: Thu 2024-04-25 16.00 - 16.40

Location: Institut Mittag-Leffler, Seminar Hall Kuskvillan and Zoom

Video link: Meeting ID: 921 756 1880

Participating: Junxian Li, University of California, Davis

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Abstract:

I will discuss ongoing work with Xiannan Li and Yongxiao Lin in which we show that for a fixed \(SL(3, \mathbb Z)\) Hecke–Maass cusp form \(\pi\), there are infinitely many primitive Dirichlet characters \(\chi\) such that \(L(1/2, \pi\otimes \chi)\) and \(L(1/2, \chi)\) do not vanish simultaneously.

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