TITLE: What is the definition of the function T used in Atiyah's attempted proof of the Riemann Hypothesis?
QUESTION [107 upvotes]: 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?

REPLY [25 votes]: Here's a public paper of the "the fine structure constant" by Atiyah. 
It doesn't seem to be the original, but a copy:
https://drive.google.com/file/d/1WPsVhtBQmdgQl25_evlGQ1mmTQE0Ww4a/view
See the section 3.4, the Todd function is defined there.
[Edit] As pointed by @T_M in the comments, here you would find the main properties of the T function.