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math.NT2022
On the number variance of zeta zeros and a conjecture of Berry
Meghann Moriah Lugar, Micah B. Milinovich, Emily Quesada-Herrera
Assuming the Riemann hypothesis, we prove estimates for the variance of the real and imaginary part of the logarithm of the Riemann zeta-function in short intervals. We give three…
math.NT2022
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…