1 citations · 1 across the 4 of their papers we have counts for
7 papers
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…
Negative discrete moments of the derivative of the Riemann zeta-function
Hung M. Bui, Alexandra Florea, Micah B. Milinovich
We obtain conditional upper bounds for negative discrete moments of the derivative of the Riemann zeta-function averaged over a subfamily of zeros of the zeta function which is exp…
On the derivatives of Hardy's function
Hung M. Bui, R. R. Hall
Let be the -th derivative of Hardy's -function. The numerics seem to suggest that if and have the same parity, then the zeros of and $Z^{…
Negative moments of the Riemann zeta-function
Hung M. Bui, Alexandra Florea
Assuming the Riemann Hypothesis we study negative moments of the Riemann zeta-function and obtain asymptotic formulas in certain ranges of the shift in . For example, integra…
Small gaps and small spacings between zeta zeros
Hung M. Bui, Daniel A. Goldston, Micah B. Milinovich +1
We show assuming RH that phenomena concerning pairs of zeros established pair correlations occur with positive density (with at most a slight adjustment of the constants). Al…
Type-I contributions to the one and two level densities of quadratic Dirichlet --functions over function fields
Hung M. Bui, Alexandra Florea, Jonathan Keating
Using the Ratios Conjecture, we write down precise formulas with lower order terms for the one and the two level densities of zeros of quadratic Dirichlet --functions over funct…
A quadratic divisor problem and moments of the Riemann zeta-function
Sandro Bettin, H. M. Bui, Xiannan Li +1
We estimate asymptotically the fourth moment of the Riemann zeta-function twisted by a Dirichlet polynomial of length . Our work relies crucially on Watt…