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4 papers
Lower bounds for moments of zeta prime rho
Micah B. Milinovich, Nathan Ng
Assuming the Riemann Hypothesis, we establish lower bounds for moments of the derivative of the Riemann zeta-function averaged over the non-trivial zeros of . Our proof is ba…
A discrete mean value of the derivative of the Riemann zeta function
Nathan Ng
In this article we compute a discrete mean value of the derivative of the Riemann zeta function. This mean value will be important for several applications concerning the size of $…
The fourth moment of ζ^{'}(ρ)
Nathan Ng
Discrete moments of the Riemann zeta function were studied by Gonek and Hejhal in the 1980's. They independently formulated a conjecture concerning the size of these moments. In 19…
The distribution of the summatory function of the Möbius function
Nathan Ng
Let the summatory function of the Möbius function be denoted . We deduce in this article conditional results concerning assuming the Riemann Hypothesis and a conjectur…