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At the top of the pag there are three graphs each with what looks to be a hole through the graph. Now I know the graph is an Argand Diagram showing the function in bot the real and imaginary axis but what is the third axis? Another question is for the graph on the right the

l ζ(z) l which is the absolute value of the Zeta function correct? If it is not the Zeta function then what is the equation?

Is the hole in the graph a nontrivial zero or just a result of the function?

Thank You.