Finding expression that runs through zeros of a function

Asked Apr 22 '14 at 21:54

Active Apr 22 '14 at 21:54

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A list plot of the zeros of the imaginary part of $2^s\pi^{s-1}\sin\bigg(\frac{\pi s}{2}\bigg)\Gamma(1-s)$ for $s=\frac{1}{2}+it$

looks like this:

enter image description here

How would I find the expression for the line that runs through these points?

asked Apr 22 '14 at 21:54

martin

$t\in\mathbb R^+$? – Jack M Apr 22 '14 at 22:03
@ Jack M, yes - should have said – martin Apr 22 '14 at 22:10
The curve might be log type, rather linear. Try larger roots - say $10^k$ for $k=3, 4, 5$. – marty cohen Apr 22 '14 at 22:13

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