Richard R. Hall

collaborators

3 papers

math.NT2025

Amplified Fourth Moment of the Riemann Zeta-Function and Applications

Hung M. Bui, Richard R. Hall, Martin Subira Jorge

The twisted fourth moment of the Riemann zeta-function was established by Hughes and Young [J. Reine Angew. Math. 641 (2010), 203--236] and later improved by Bettin, Bui, Li and Ra…

math.NT2023

A note on the zeros of the derivatives of Hardy's function $Z (t)$

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 $Z (t)$ , improving upon previous re…

math.NT2023

On the derivatives of Hardy's function $Z (t)$

Hung M. Bui, R. R. Hall

Let $Z^{(k)} (t)$ be the $k$ -th derivative of Hardy's $Z$ -function. The numerics seem to suggest that if $k$ and $ℓ$ have the same parity, then the zeros of $Z^{(k)} (t)$ and $Z^{…

Amplified Fourth Moment of the Riemann Zeta-Function and Applications

A note on the zeros of the derivatives of Hardy's function Z(t)

On the derivatives of Hardy's function Z(t)

A note on the zeros of the derivatives of Hardy's function $Z (t)$

On the derivatives of Hardy's function $Z (t)$