42 citations · 142 across the 31 of their papers we have counts for
5 papers · 1 filter
On Balazard, Saias, and Yor's equivalence to the Riemann Hypothesis
H. M. Bui, S. J. Lester, M. B. Milinovich
Balazard, Saias, and Yor proved that the Riemann Hypothesis is equivalent to a certain weighted integral of the logarithm of the Riemann zeta-function along the critical line equal…
Large gaps between consecutive zeros of the Riemann zeta-function. II
H. M. Bui
Assuming the Riemann Hypothesis we show that there exist infinitely many consecutive zeros of the Riemann zeta-function whose gaps are greater than 2.9 times the average spacing.
Twists of automorphic L-functions at the central point
H. M. Bui
We study the nonvanishing of twists of automorphic L-functions at the centre of the critical strip. Given a primitive character χmodulo D satisfying some technical conditions, we p…
A hybrid Euler-Hadamard product and moments of ζ'(ρ)
H. M. Bui, Steven M. Gonek, Micah B. Milinovich
Keating and Snaith modeled the Riemann zeta-function ζ(s) by characteristic polynomials of random NxN unitary matrices, and used this to conjecture the asymptotic main term for the…
On simple zeros of the Riemann zeta-function
H. M. Bui, D. R. Heath-Brown
We show that at least 19/27 of the zeros of the Riemann zeta-function are simple, assuming the Riemann Hypothesis (RH). This was previously established by Conrey, Ghosh and Gonek […