Research

• A discrete mean-value theorem for the higher derivatives of the Riemann zeta function

Joint with C. Hughes

Link

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.

• A further generalisation of sums of higher derivatives of the Riemann zeta function

Link - submitted

• A heuristic for discrete mean values of the Riemann zeta function

Joint with C. Hughes and G. Martin

Link - submitted