skip to content
 

The Unified Transform, Medical Imaging, Asymptotics of the Riemann Zeta Function: Part II

Presented by: 
Thanasis Fokas University of Cambridge
Date: 
Friday 15th November 2019 - 14:00 to 15:00
Venue: 
INI Seminar Room 2
Abstract: 
Employing techniques of complex analysis, three different problems will be discussed: (i) Initial-boundary value problems via the unified
transform (also known as the Fokas method,www.wikipedia.org/wiki/Fokas_method)[1]. (ii) The evaluation of the large t-asymptotics to all orders of the Riemann zeta function[2], and the introduction of a new approach to the Lindelöf Hypothesis[3]. (iii) A novel analytical algorithm for the medical technique of SPECT and its numerical implementation [4].

[1] J. Lenells and A. S. Fokas. The Nonlinear Schrödinger Equation
with t-Periodic Data: I. Exact Results, Proc. R. Soc. A 471, 20140925
(2015).
J. Lenells and A. S. Fokas, The Nonlinear Schrödinger Equation with
t-Periodic Data: II. Perturbative Results, Proc. R. Soc. A 471,
20140926 (2015).
[2] A.S. Fokas and J. Lenells, On the Asymptotics to All Orders of the
Riemann Zeta Function and of a Two-Parameter Generalization of the
Riemann Zeta Function, Mem. Amer. Math. Soc. (to appear).
[3] A.S. Fokas, A Novel Approach to the Lindelof Hypothesis,
Transactions of Mathematics and its Applications, 3(1), tnz006 (2019).
[4]N.E. Protonotarios, A.S. Fokas, K. Kostarelos and G.A. Kastis, The Attenuated Spline
Reconstruction Technique for Single Photon Emission Computed Tomography, J. R. Soc.
Interface 15, 20180509 (2018).
The video for this talk should appear here if JavaScript is enabled.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons