Research
In this section you will find details of my papers, organised by year. You will also find links to preprints of my papers at that awaiting publication, as well as a list of papers that are currently in preparation. There is also a tab for a link to other miscellaneous writings.
A link to my Google Scholar profile can be found here.
Papers
2024
Cite as:
Andrew Pearce-Crump, A further generalisation of sums of higher derivatives of the Riemann Zeta Function , International Journal of Number Theory, Volume, 2024, Pages.
A heuristic for discrete mean values of the derivative of the Riemann zeta function
Joint with C. Hughes and G. Martin
Cite as:
Christopher Hughes, Greg Martin, Andrew Pearce-Crump, A heuristic for discrete mean values of the derivative of the Riemann zeta function, Integers, Volume 24, 2024, Pages.
2022
A discrete mean-value theorem for the higher derivatives of the Riemann zeta function
Joint with C. Hughes
Cite as:
Christopher Hughes, Andrew Pearce-Crump, A discrete mean-value theorem for the higher derivatives of the Riemann zeta function, Journal of Number Theory, Volume 241, 2022, Pages 142-164.
In preparation
Moments of derivatives of the Riemann zeta function: the Ratios Conjecture
Joint with C. Hughes
OTHER
PhD Thesis: Discrete moments of the Riemann zeta function