In Michael Atiyah's paper purportedly proving the Riemann hypothesis, he relies heavily on the properties of a certain function $T(s)$, known as the Todd function. My question is, what is the definition of $T(s)$?

Atiyah states that this function is defined in his paper "The Fine Structure Constant", but I can't seem to find a copy of the paper. So can anyone tell me how Atiyah defined $T$ in that paper?

explanationsof how one is supposed to get started. Here's another instance from the $\alpha$ preprint: it is claimed that a finite von Neumann algebras always has a trace (true) and then it is claimed that inner automorphisms give different but isomorphic traces. However, if $\tau$ is a trace on any algebra and $\phi$ is an inner automorphism then one will find rather quickly that $\tau\circ\phi=\tau$. $\endgroup$ – Yemon Choi Sep 24 '18 at 8:3027more comments