International Seminar on Automorphic Forms

Liyang Yang (Princeton University):  Uniform Non-vanishing of Hilbert Modular L-values

Let ℱ(k,q) be the set of normalized Hilbert newforms of weight k and prime level q. In this talk, we will present a uniform positive proportion of #{π∈ℱ(k,q):L(1/2,π)≠0} as #ℱ(k,q)→+∞. This is joint work with Zhining Wei and Shifan Zhao.

https://tu-darmstadt.zoom.us/j/68048280736

The password is the first Fourier coefficient of the modular j-function (as digits)