H. M. Bui

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math.NT2026

Simultaneous non-vanishing of Dirichlet $L$ --functions, II: Weighted central limit theorem

Hung M. Bui, Alexandra Florea, Micah B. Milinovich

Under the Generalized Riemann Hypothesis, we prove a weighted central limit theorem for the joint distribution of four Dirichlet $L$ --functions at the central point, twisted by the…

math.NT2026

Simultaneous non-vanishing of Dirichlet L-functions

Hung M. Bui, Alexandra Florea, Micah B. Milinovich

In this paper, we prove the simultaneous non-vanishing of four Dirichlet $L$ -functions at any point on the critical line. More precisely, let $χ_{1}, \dots, χ_{4}$ be even Dirichlet cha…

math.NT2019

Moments of quadratic twists of elliptic curve L-functions over function fields

H. M. Bui, Alexandra Florea, Jonathan P. Keating +1

We calculate the first and second moments of L-functions in the family of quadratic twists of a fixed elliptic curve E over F_q[x], asymptotically in the limit as the degree of the…

Simultaneous non-vanishing of Dirichlet L--functions, II: Weighted central limit theorem

Simultaneous non-vanishing of Dirichlet L-functions

Moments of quadratic twists of elliptic curve L-functions over function fields

Simultaneous non-vanishing of Dirichlet $L$ --functions, II: Weighted central limit theorem