4 papers
On Littlewood's estimate for the modulus of the zeta function on the critical line
Emanuel Carneiro, Micah B. Milinovich
Inspired by a result of Soundararajan, assuming the Riemann hypothesis (RH), we prove a new inequality for the logarithm of the modulus of the Riemann zeta-function on the critical…
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…
Fourier optimization and Montgomery's pair correlation conjecture
Emanuel Carneiro, Micah B. Milinovich, Antonio Pedro Ramos
Assuming the Riemann hypothesis, we improve the current upper and lower bounds for the average value of Montgomery's function over long intervals by means of a Fourier op…
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…