H. Bui

activity

20062026

most citedMore than 41% of the zeros of the zeta function are on the critical line

42 citations · 142 across the 31 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.NT2021★ 1 cited

Weighted central limit theorems for central values of $L$ -functions

Hung M. Bui, Natalie Evans, Stephen Lester +1

We establish a central limit theorem for the central values of Dirichlet $L$ -functions with respect to a weighted measure on the set of primitive characters modulo $q$ as $q \right…

math.NT2021★ 1 cited

The Ratios Conjecture and upper bounds for negative moments of $L$ -functions over function fields

Hung M. Bui, Alexandra Florea, Jonathan P. Keating

We prove special cases of the Ratios Conjecture for the family of quadratic Dirichlet $L$ --functions over function fields. More specifically, we study the average of $L(1/2+α,χ_D)/…

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 $J_{0} (q)$ of modular curves for large primes $q$ . By a conjecture of Brumer-Murty, the rank should be equal to h…

Weighted central limit theorems for central values of L-functions

The Ratios Conjecture and upper bounds for negative moments of L-functions over function fields

Analytic ranks of automorphic L-functions and Landau-Siegel zeros

Weighted central limit theorems for central values of $L$ -functions

The Ratios Conjecture and upper bounds for negative moments of $L$ -functions over function fields