Simultaneous non-vanishing of $L$-functions at the central point

Abstract: In this talk, I will focus on simultaneous non-vanishing results for Dirichlet $L$-functions at the central point $1/2$. Specifically, I will describe how to obtain a positive proportion of simultaneous non-vanishing result for four $L$-functions as we vary over characters $\chi$ modulo $q$, conditional on GRH. This is based on joint work with Hung Bui and Micah Milinovich.

algebraic geometrynumber theory

Audience: researchers in the topic

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