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.
The second moment of the Riemann zeta function at its local extrema
Joint with C. Hughes and S. Lugmayer
Cite as:
Christopher Huges, Solomon Lugmaryer, and Andrew Pearce-Crump, The Second moment of the Riemann zeta function at its local extrema , Journal of the London Mathematical Society, Volume 112, 2025, Pages.
Moments of the Riemann zeta function at its local extrema
Cite as:
Andrew Pearce-Crump, Moments of the Riemann zeta function at its local extrema , Mathematika, Volume 71, 2025, Pages.
Cite as:
Andrew Pearce-Crump, A further generalisation of sums of higher derivatives of the Riemann Zeta Function , International Journal of Number Theory, Volume 21, 2025, Pages 357--375.
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 A83.
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.
Joint with C. Hughes
Link - submitted
Complex moments of derivative of the Riemann zeta function
Joint with C. Hughes
Integer moments of derivatives of the Riemann zeta function
Joint with C. Hughes