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math.NT2026
Simultaneous non-vanishing of twists of and -functions
Junxian Li, Xiannan Li, Yongxiao Lin
We show that for a fixed Hecke--Maass cusp form , there are infinitely many primitive Dirichlet characters such that and $L(1/…
math.NT2026
One-level densities of large even and odd orthogonal families of automorphic L-functions
Vorrapan Chandee, Xiannan Li, Micah B. Milinovich
We prove one-level density results for L-functions attached to primitive forms of level q, averaged over square-free q, conditional on the Generalized Riemann Hypothesis (GRH). We…