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math.NT2023
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…
math.NT2023
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^{…
math.NT2023★ 1 cited
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…