3 papers
math.NT2025
Simultaneous nonvanishing of Dirichlet -functions in Galois orbits
Hung M. Bui, Alexandra Florea, Hieu T. Ngo
Under the Generalized Riemann Hypothesis, we prove that given any two distinct imprimitive Dirichlet characters modulo , a positive proportion of characters m…
math.NT2021
On roots of quadratic congruences
Hieu T. Ngo
The equidistribution of roots of quadratic congruences with prime moduli depends crucially upon effective bounds for a special Weyl linear form. Duke, Friedlander and Iwaniec disco…
math.NT2019
Nonvanishing of Dirichlet L-functions, II
Rizwanur Khan, Djordje Milićević, Hieu T. Ngo
We show that for at least of the primitive Dirichlet characters of large prime modulus, the central value does not vanish, improving on the pr…