Mr Andrew Pearce-Crump
MSci, PGCE
Current positions
Heilbronn Research Fellow
School of Mathematics
Contact
Press and media
Many of our academics speak to the media as experts in their field of research. If you are a journalist, please contact the University’s Media and PR Team:
Research interests
My research area is Analytic Number Theory, specifically, moments of the Riemann zeta function. I am particularly interested in how the derivative of the zeta function behaves.
This area has a vast overlap with topics in Random Matrix Theory. It is believed that we can model the zeta function by the characteristic polynomial of random unitary matrices, and so studying the derivative of the characteristic polynomial should tell us information about the derivative of the zeta function.
I am broadly interested in Number Theory, the Pedagogy of Mathematics, and the History of Mathematics.
Publications
Recent publications
07/11/2024A Further Generalisation of Sums of Higher Derivatives of the Riemann Zeta Function
International Journal of Number Theory
A heuristic for discrete mean values of the derivative of the Riemann zeta function
INTEGERS: Electronic Journal of Combinatorial Number Theory
A discrete mean-value theorem for the higher derivatives of the Riemann zeta function
Journal of Number Theory