7 citations · 7 across the 2 of their papers we have counts for
6 papers · 1 filter
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…
A note on the zeros of the derivatives of Hardy's function
Hung M. Bui, R. R. Hall
Using the twisted fourth moment of the Riemann zeta-function we study large gaps between consecutive zeros of the derivatives of Hardy's function , improving upon previous re…
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…
Critical zeros of the Riemann zeta-function
H. M. Bui
In this unpublished note, we sketch an idea of using a three-piece mollifier to slightly improve the known percentages of zeros and simple zeros of the Riemann zeta-function on the…