Joint IAS/PU Number Theory
Simultaneous Non-Vanishing of L-Functions at the Central Point
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 non-vanishing results (conditional on GRH) for two L-functions associated to Dirichlet characters in the same Galois orbit, and simultaneous non-vanishing of four L-functions as we vary over characters \chi modulo q, conditional on GRH and the Ramanujan-Petterson conjecture. This is based on joint works with Bui-Ngo and Bui-Milinovich.
Date & Time
December 11, 2025 | 3:30pm – 4:30pm
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12/11/2025 15:30
12/11/2025 16:30
Joint IAS/PU Number Theory
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Topic: Simultaneous Non-Vanishing of L-Functions at the Central Point
Speakers: Alexandra Florea, University of California, Irvine
More: https://www.ias.edu/math/events/joint-iaspu-number-theory-4
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 non-vanishing results (conditional on GRH) for two
L-functions associated to Dirichlet characters in the same Galois
orbit, and simultaneous non-vanishing of four L-functions as we vary
over characters \chi modulo q, conditional on GRH and the
Ramanujan-Petterson conjecture. This is based on joint works with
Bui-Ngo and Bui-Milinovich.
Simonyi 101 and Remote Access
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Location
Simonyi 101 and Remote AccessSpeakers
Alexandra Florea, University of California, Irvine