Simultaneous Non-Vanishing of L-Functions at the Central Point

Explore simultaneous non-vanishing results for Dirichlet L-functions at the central point in this advanced number theory lecture from the Institute for Advanced Study. Delve into conditional non-vanishing results for two L-functions associated to Dirichlet characters in the same Galois orbit, assuming the Generalized Riemann Hypothesis (GRH). Examine the simultaneous non-vanishing of four L-functions as characters χ vary modulo q, conditional on both GRH and the Ramanujan-Petersson conjecture. Learn about cutting-edge research in analytic number theory through detailed mathematical exposition of results obtained through collaborative work with Bui-Ngo and Bui-Milinovich. Gain insights into the deep connections between L-functions, character theory, and major conjectures in number theory during this comprehensive 74-minute presentation delivered as part of the Joint IAS/Princeton University Number Theory Seminar series.