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math.NT2021★ 1 cited
Weighted central limit theorems for central values of -functions
Hung M. Bui, Natalie Evans, Stephen Lester +1
We establish a central limit theorem for the central values of Dirichlet -functions with respect to a weighted measure on the set of primitive characters modulo as $q \right…
math.NT2021
Analytic ranks of automorphic L-functions and Landau-Siegel zeros
Hung M. Bui, Kyle Pratt, Alexandru Zaharescu
We relate the study of Landau-Siegel zeros to the ranks of Jacobians of modular curves for large primes . By a conjecture of Brumer-Murty, the rank should be equal to h…