42 citations · 142 across the 31 of their papers we have counts for
6 papers · 1 filter
Central values of derivatives of Dirichlet L-functions
H. M. Bui, M. B. Milinovich
Let C(q,+) be the set of even, primitive Dirichlet characters (mod q). Using the mollifier method we show that L^{(k)}(1/2,chi) is not equal to zero for almost all the characters c…
A note on the gaps between consecutive zeros of the Riemann zeta-function
H. M. Bui, M. B. Milinovich, N. Ng
Assuming the Riemann Hypothesis, we show that infinitely often consecutive non-trivial zeros of the Riemann zeta-function differ by at most 0.5155 times the average spacing and inf…
A note on the fourth moment of Dirichlet L-functions
H. M. Bui, D. R. Heath-Brown
We prove an asymptotic formula for the fourth power mean of Dirichlet L-functions averaged over primitive characters to modulus q and over t\in [0,T] which is particularly effectiv…
Gaps between zeros of the derivative of the Riemann ξ-function
H. M. Bui
Assuming the Riemann hypothesis, we investigate the distribution of gaps between the zeros of ξ'(s). We prove that a positive proportion of gaps are less than 0.796 times the avera…
Large gaps between consecutive zeros of the Riemann zeta-function
H. M. Bui
Combining the mollifiers, we exhibit other choices of coefficients that improve the results on large gaps between the zeros of the Riemann zeta-function. Precisely, assuming the Ge…
A note on the second moment of automorphic L-functions
H. M. Bui
We obtain the formula for the twisted harmonic second moment of the -functions associated with primitive Hecke eigenforms of weight 2. A consequence of our mean value theorem is…