8 citations · 27 across the 8 of their papers we have counts for
9 papers
Relations among the Riemann zeta and Hurwitz zeta functions as well as their products
A. C. L. Ashton, A. S. Fokas
Several relations are obtained among the Riemann zeta and Hurwitz zeta functions, as well as their products. A particular case of these relations give rise to a simple re-derivatio…
Power mean of the Hurwitz zeta function
A. C. L. Ashton
In this note we derive asymptotic formulas for power mean of the Hurwitz zeta function over large intervals.
Elliptic boundary value problems in convex polygons with low regularity boundary data via the unified method
A. C. L. Ashton, A. S. Fokas
We use novel integral representations developed by the second author to prove certain rigorous results concerning elliptic boundary value problems in convex polygons. Central to th…
The spectral Dirichlet-Neumann map for Laplace's equation in a convex polygon
A. C. L. Ashton
We provide a new approach to studying the Dirichlet-Neumann map for Laplace's equation on a convex polygon using Fokas' unified method for boundary value problems. By exploiting th…
Collections of Fluid Loaded Plates: A Nonlocal Approach
Anthony C. L Ashton
We consider the motion of a collection of fluid loaded elastic plates, situated horizontally in an infinitely long channel. We use a new, unified approach to boundary value problem…
A Nonlocal Formulation of Rotational Water Waves
Anthony C. L Ashton, A. S. Fokas
The classical equations of irrotational water waves have recently been reformulated as a system of two equations, one of which is an explicit non-local equation for the wave height…