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.
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.
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.
Moments of derivatives of the Riemann zeta function: the Ratios Conjecture
Joint with C. Hughes
PhD Thesis: Discrete moments of the Riemann zeta function